# SOLVED: 8. Let’s build your understanding about integrals a) Let a < b < €. Draw a picture to represent the integral expression below: Then find a way to simplify the expression f(x) dx + f(x) dx b) L

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

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a) Let a < b < €. Draw a picture to represent the integral expression below: Then find a way to simplify the expression
f(x) dx + f(x) dx
b) Let f(x) > g(x) for all x Draw picture and write a sentence explaining the graphical meaning of the integral below: S.oo) g(x)) dx

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The definite integral of a continuous function f(x) can be written as:âˆ«f(x)dx = F(b) – F(a)This expression has 4 elements: The integral symbol, the limits, the function, and the differential (dx). Explain the meaning of each element and use them to explain the right part of the expression.

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point) The graph of f is shown below Evaluate each of the following integrals by interpreting it in terms of area.J8 f(a) dxJs f(c) dxf5 f(z) d.J8 f(c) dx810

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point) The graph of f is shown below: Evaluate each integral by interpreting it in terms of areas_f(x)dx2f(x)dx3.f(x)dxf(x)dx-8Note: You can click on the graph to enlarge the image:

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