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a) Evaluate the integral

âˆ«(n'(Bx) + xix)dx

âˆ«ln(8x)dx

Note: Solve by integration by parts

tanâ»Â¹(11*)

b) Evaluate the integral âˆ«(1lx + 8)8)dx

âˆ«8(1+112*2)dx

Note: Write all the steps and details clearly, please.

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01:45

Evaluate the integral using the indicated trigonometric substitution:âˆ« dx; x = 3sinÎ¸

A. None of theseB. cotÎ¸ + CC. cosÎ¸ + CD. tanÎ¸ + COE – cotÎ¸ + C

01:52

evaluate the indefinite integral using u substitution & inverse trig functions.

02:48

Use a change of variables to evaluate the following indefinite integral:âˆ«x^2(x^3 + 11) dx

Determine a change of variables from x to u. Choose the correct answer below:A: u = x^3B: u = x^3 + 11C: u = x^8 + 11D: u = 3x^2

Write the integral in terms of u:âˆ«(u – 11) du

Evaluate the integral:âˆ«(u – 11) du

00:28

Evaluate the integral.

$ \displaystyle \int^8_1 x^{-2/3} \,dx $

01:57

Suppose f is an even function andf(x) dx = 8_Evaluate f(x) dxb. Evaluatexf(x) dxEvaluate the definite integral_f(x) dx(Simplify your answer:)b. Evaluate the definite integral:xf(x) dx(Simplify your answer:)

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