# Answered: Evaluate the integral. 2+e-2x dx e3x 10…

Integrals | Part 14 | Ex 7.12 | Properties of Definite Integrals | Applied Mathematics class 12
Integrals | Part 14 | Ex 7.12 | Properties of Definite Integrals | Applied Mathematics class 12

close
Start your trial now! First week only \$4.99!
arrow_forward
Literature guides
Concept explainers
Writing guide
Popular textbooks
Popular high school textbooks
Popular Q&A
Accounting
Economics
Finance
Management
Marketing
Operations Management
Engineering
AI and Machine Learning
Bioengineering
Chemical Engineering
Civil Engineering
Computer Engineering
Computer Science
Cybersecurity
Data Structures and Algorithms
Electrical Engineering
Mechanical Engineering
Language
Spanish
Math
Algebra
Calculus
Geometry
Probability
Statistics
Trigonometry
Science
Anatomy and Physiology
Biochemistry
Biology
Chemistry
Earth Science
Health & Nutrition
Health Science
Nursing
Physics
Social Science
Anthropology
Geography
History
Political Science
Psychology
Sociology
learn
write
expand_more
plus
study resources
expand_more
expand_more
SEARCH
Homework help starts here!
Math
Calculus
Evaluate the integral. 2+e-2x dx e3x 10 +C O -2e-5x(5e3x + 1) + C e Sx(10e2x + 3) + c 15 1 e 3* 2e2x – 3) + C
Evaluate the integral. 2+e-2x dx e3x 10 +C O -2e-5x(5e3x + 1) + C e Sx(10e2x + 3) + c 15 1 e 3* 2e2x – 3) + C
Calculus: Early Transcendentals
8th Edition
ISBN:
9781285741550
Author: James Stewart
Publisher:
Cengage Learning
expand_less
1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Infinite Sequences And Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
17 Second-order Differential Equations
expand_more
1.1 Four Ways To Represent A Function
1.2 Mathematical Models: A Catalog Of Essential Functions
1.3 New Functions From Old Functions
1.4 Exponential Functions
1.5 Inverse Functions And Logarithms
Chapter Questions
expand_more
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How…
Problem 2RCC: Discuss four ways of representing a function. Illustrate your discussion with examples.
Problem 3RCC: (a) What is an even function? How can you tell if a function is even by looking at its graph? Give…
Problem 4RCC: What is an increasing function?
Problem 5RCC: What is a mathematical model?
Problem 6RCC: Give an example of each type of function. (a) Linear function (b) Power function (c) Exponential…
Problem 7RCC: Sketch by hand, on the same axes, the graphs of the following functions. (a) f(x) = x (b) g(x) = x2…
Problem 8RCC: Draw, by hand, a rough sketch of the graph of each function. (a) y = sin x (b) y = tan x (c) y = ex…
Problem 9RCC: Suppose that f has domain A and g has domain B. (a) What is the domain of f + g? (b) What is the…
Problem 10RCC: How is the composite function f g defined? What is its domain?
Problem 11RCC: Suppose the graph of f is given. Write an equation for each of the graphs that are obtained from the…
Problem 12RCC: (a) What is a one-to-one function? How can you tell if a function is one-to-one by looking at its…
Problem 13RCC: (a) How is the inverse sine function f(x) = sin1 x defined? What are its domain and range? (b) How…
Problem 1RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 2RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 3RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 4RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 5RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 6RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 7RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 8RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 9RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 10RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 11RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 12RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 13RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 14RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,…
Problem 1RE: Let f be the function whose graph is given. (a) Estimate the value of f(2). (b) Estimate the values…
Problem 2RE: The graph of g is given. (a) State the value of g(2). (b) Why is g one-to-one? (c) Estimate the…
Problem 3RE: lf f(x) = x2 2x + 3, evaluate the difference quotient f(a+h)f(a)h
Problem 4RE: Sketch a rough graph or the yield of a crop as a function of the amount of fertilizer used.
Problem 5RE: Find the domain and range of the function. Write your answer in interval notation. 5. f(x) = 2/(3x …
Problem 6RE: Find the domain and range of the function. Write your answer in interval notation. 6. g(x)=16×4
Problem 7RE
Problem 8RE: Find the domain and range of the function. Write your answer in interval notation. 8. F(t) = 3 + cos…
Problem 9RE
Problem 10RE: The graph of .f is given. Draw the graphs of the following functions. (a) y = f(x 8) (b) y = f(x)…
Problem 11RE
Problem 12RE: Use transformations to sketch the graph of the function. y=2x
Problem 13RE
Problem 14RE: Use transformations to sketch the graph of the function. y = In(x + 1)
Problem 15RE: Use transformations to sketch the graph of the function. f(x) = cos 2x
Problem 16RE: Use transformations to sketch the graph of the function. f(x)={xifx0ex1ifx0
Problem 17RE: Determine whether f is even, odd, or neither even nor odd. (a) f(x)=2x53x2+2. (h) f(x) = x3 x7 (c)…
Problem 18RE: Find an expression for the function whose graph consists of the line segment from point (2, 2) to…
Problem 19RE: If f(x) = In x and g(x) = x2 9. find the functions (a) fg (b) gf (c) ff (d) gg, and their domains.
Problem 20RE: Express the function F(x)=1/x+x as a composition of three functions.
Problem 22RE: A small-appliance manufacturer finds that it costs 9000 to produce 1000 toaster ovens a week and…
Problem 23RE: If f(x) = 2x + In x, find f1(2).
Problem 24RE: Find the inverse function of f(x)=x+12x+1.
Problem 25RE: Find the exact value of each expression. 64. (a) tan13 (b) arctan (1) 25. Find the exact value of…
Problem 26RE
Problem 27RE: The half-life of palladium-100, 100Pd, is four days. (So half of any given quantity of 100Pd will…
Problem 28RE: The population of a certain species in a limited environment with initial population 100 and…
Problem 1P: One of the legs of a right triangle has length 4 cm. Express the length of the altitude…
Problem 2P: The altitude perpendicular to the hypotenuse of a right triangle is 12 cm. Express the length of the…
Problem 3P: Solve the equation |2x 1| |x + 5| = 3.
Problem 4P: Solve the inequality |x 1| |x 3| 5.
Problem 5P
Problem 6P: Sketch the graph of the function g(x) = |x2 1 | |x2 4|.
Problem 7P
Problem 8P
Problem 9P: The notation max{a, b, } means the largest of the numbers a, b. Sketch the graph of each function….
Problem 10P: Sketch the region in the plane defined by each of the following equations or inequalities. (a)…
Problem 11P: Evaluate (log2 3)(log3 4)(log4 5)(log31 32).
Problem 12P: (a) Show that the function f(x)=ln(x+x2+1) is an odd function. (b) Find the inverse function of f.
Problem 13P: Solve the inequality ln(x2 2x 2) 0.
Problem 14P: Use indirect reasoning to prove that log2 5 is an irrational number.
Problem 15P: A driver sets out on a journey. For the first half of the distance she drives at the leisurely pace…
Problem 16P: Is it true that f(g+h)=fg+fh?
Problem 17P: Prove that if n is a positive integer, then 7n 1 is divisible by 6.
Problem 18P: Prove that 1 + 3 + 5 + + (2n l ) = n2.
Problem 19P: If fo(x) = x2 and fn+1(x) = fo(fn(x)) for n = 0, 1, 2,, find a formula for fn(x).
Problem 20P: (a) If fo(x)=12x and fn+1=fofnforn=0,1,2,, find an expression for fn(x) and use mathematical…
format_list_bulleted
See similar textbooks
Related questions
Q: Complete integral of the equation z = px+ qy – 2pq is, (a) z = ax+ by – Vab (b) z = ax+by + Vab (c)…
A: Clairaut’s form is given by z = px+qy+f(p,q) Its complete integral is given by z = ax+by+f(a,b)
Q: Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx
A: Given query is to find the value of the integral.
Q: Solve the integral: Vx + x A x ³ | + C B None of the given choices 6ln|5+ x 6|+ C + C E) +C
A: We need to evaluate the integral.
Q: Evaluate the integral. Select the correct answer. 2√ 213, 9 S -1 -1 tan 2 ( 1² + 2x + 4) – ²¹ (+²) -…
A:
Q: dæ (xº + 2)² The integral is divergent.
A:
Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…
A:
Q: Find the integral (o (b+1)x*2 +(c+1))(x*** +(-1)”(a+2)) dx . b+2c+1 Vx°
A:
Q: Which of the following is equal to the given integral? (Note: B > 2.) B 14e-t + 27 dt e-t 14e-2 + 27…
A:
Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c -…
A: To evaluate the given integral.
Q: Use the appropriate substitution to evaluate the following integrals: e 3z+ ® 3e3a+4 + C e3x+4 + C B…
A: We will solve the integration.
Q: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…
A: We know that integration of xn is xn+1/n+1. Here i attached the solution of this question.
Q: ₁√x³ √4-x² dx. if we let z = √√4-x², which of the following integrals is correct using rationalizing…
A: The given integral, ∫x34-x2dx
Q: Evaluate the integral. -1 4y3 2 dy 3
A:
Q: Evaluate the integral improper integral (A) 1/9 B) 1/6 1/8 (D) 1/4 0 00 dx (2x-1)³
A:
Q: Evaluate the integral: rV1+ 25 /1+ 25z°dz + C
A:
Q: |(x+3)°(x+b)d dx is In 3×2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…
A:
Q: 10. What is the constant multiplier to complete the integrand in terms of u for dx? x +3 A) B) C) 4…
A: 10. The given integrand ∫x3x4+3dx11. The following integral is equal to 54.
Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…
A: The integration of the integral is 1/[x^(1/3)+x^(1/2)].
Q: Evaluate the integral JS2dx. (a) Se2+ C (b) 2 +C (c) (1/5)e\$+2 + C (d) 3eS+3 +C (e) (1/3)e**3 + C…
A: We use substitution method
Q: Find the integral. 2 dx 2 (A + C 1 B -3x + C 1 X. + C 3 D 3 + C
A:
Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ +1| + C dx…
A: Given
Q: Evaluate the integral. 20e V5x dx Select one: A. 10 e5x + C B. 45 ev5x + C C. 20 eV5x + C D. 5 e5x…
A:
Q: 14. We use the substitution u=x-1 to evaluate the integral Find the integral with respect to u. 2u O…
A: Fro the given problem: I=∫x2x-1dx..(1) Use the substitution method to solve the integral: Given:…
Q: The value of the integral Select one: b. None of these 5 4 d. / c. [ [²x² 7/2 x²y³ dx dy is:
A: This is a double integration problem
Q: 11. Obtain the integral of (5x-1)³ dx from x = 0 to x=1 25 A. 51 5 C. 51 4 B. D. 4 51 20
A: Topic = Integration Correct option = B
Q: Evaluate the integral. 36-² 1 [²+² -√36−x² (x² + y²)¹/2 dy dx dz
A:
Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx…
A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du
Q: 21 Which of the following integrals is equal to the integral | s(3x – 5) dx? (A zp (2)/ 7/3 (B) s(:)…
A:
Q: Let b 2 4 be an integer. What is the result of the integral dx ? D) 0 E) 0 – 0o (the result of the…
A:
Q: c. Evaluate the integral. 4 c3 4. S S(x² + 3xy²)dxdy
A:
Q: 3. The integral of an t dx is b In|sec(In(2x)ª)|. What is b? A. 1/2 В. 1/4 с. 2 D. 4
A:
Q: The particular Integral for ((D² – – 16)”)y = e1z O yp O Yp 6 O None Yp sel6)z 6!
A:
Q: The Particular Integral for (D2 + 5D + 6)y = e3z O None O Yp 30 elz O Yp O Yp =
A:
Q: 1 Suppose we perform the substitution u=3+vx in the integral dx . (3+vx)4 What is the resulting…
A:
Q: 3. Find the following integrals. Sdx dx 3x-1 a. b. x2+5
A:
Q: Solve the integral: A 5n/1+x²|+C 5 (B) 6in 5+x’ 6In|5+ +C 음 m/1+x²|+c C ³√|+C 1+x √√√√x+x² dx D
A:
Q: 3z+4 dr Use the appropriate substitution to evaluate the following integrals: e %3D O e3a+4 + C ©…
A:
Q: Evaluate the integral. 8+e-5x dx e6x 1 44 -5x +6 + C 30 O -8e-l1x(11e6x + 1) + C O .tel1x(88e5x + 6)…
A:
Q: Specify the substitution you would choose to evaluate the integrals. √ √4-2t dt Ou=t Ou = 4-2t O u =…
A:
Q: Specify the substitution you would choose to evaluate the integrals. S (t + 4) e²+8+1 dt Ou=t+4…
A: The given integral is ∫t+4et2+8t+1dt. We have to find substitution for the integral.
Q: Evaluate the integral i.) 2 S² S₂y ez dxdy हैं,
A:
Q: x² Va?-x²dx let write the integral by using Beta function 3 3 .a O 2’2 a (5 3 2’2 .b O a4 1 5 B 2 .c…
A: let x=asinu differentiating x= asinu dx=acosudu when x=0, u =0 x=a,u=π2 therefore, the given…
Q: complete integral of the PDE: z?p? + q? = 1 2
A:
Q: Evaluate the integral: B A None of the given choices O E (3e) 2+1n3 (3e) 3+ sinh2x (3e) 2+ 21n3 3+…
A: Solution is given below:
Q: 1 dr. (x² + c²)2 c) Evaluate the improper integral {a = 2, b = 6, c = 3}
A: The given integral is ∫0∞1(x2+c2)2dx
Q: 17. Evaluate the integral or show that it is divergent [(a)-(c)]. 4 6 14 dx (a) wzda, f (b) (b)dx,…
A: As per the instruction, we will be answering the first three subparts. For (a),…
Q: The particular integral of y” + 5y’ + 4y = 3x + 2 is (A) 3х+ 4 (В) 3х — 7 3 (C) 4 (D) 4 – 16 4.
A: We find the particular integral of the given differential equation by using undetermined…
Q: x1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: u= 4u -du 4-4² S-…
A:
Q: H.W 7.2 Compute the following integrals: e+? + 1 + 4) x 1. 2x dx ex? + 4x² + x
A: We use substitution method
Q: dx In the evaluation of the integral / -, the coefficient of In [2 + 3x| is x(2+3x)² 3/4 1/4 -3/4…
A: The given integral is: I=∫dxx(2+3x)2
Question
Transcribed Image Text:
Question 3 Evaluate the integral. 2+e-2x dx e3x 3x +3+ C O -2e-5x(5e3x + 1) + C ‘습eSx(10e2x + 3) + C SI. O Oe*2e* – 3) + C 1
Expert Solution
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
See solution
Check out a sample Q&A here
Knowledge Booster
Indefinite Integral
Similar questions
arrow_back_ios
arrow_forward_ios
Can we evaluate the integral of 1/(x^2+2x)^3/2 dx by using x= sec¿ – 1
arrow_forward
can you help me evaluate integral of dx/cscx-1
arrow_forward
Determine the integral of (4x^2 – 6x -4)/(1+x^2)^2 dx
arrow_forward
How to evaluate the integral of [(dx)/(9-x2)(3/2)]
arrow_forward
What substitutions are sometimes used to transform integrals involving √(a2 – x2), √(a2 + x2), and √(x2 – a2) into integrals that can be evaluated directly? Give an example of each case.
arrow_forward
Find the integral of sec^4 (3x) dx
arrow_forward
solve the integral: I1= integral of 1/((x-1)(x2-4x+1)) dx
arrow_forward
What value of b > -1 maximizes the integral function
arrow_forward
Solve the attached integral substitution problem
arrow_forward
integral of sec^3 x
arrow_forward
Determine the integral of sec^4 (x) tan^2 (x) dx
arrow_forward
Show complete and detailed solution of the integral.
arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
arrow_back_ios
arrow_forward_ios
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas’ Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas’ Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS

You are watching: Answered: Evaluate the integral. 2+e-2x dx e3x 10…. Info created by THVinhTuy selection and synthesis along with other related topics.

Rate this post