   Chapter 4.3, Problem 24E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ 1 8 x − 2 / 3 d x

To determine

To evaluate: 18x-23dx

Explanation

1) Concept:

i) The Fundamental Theorem of Calculus

ii) Separate out the integration and then use antiderivative of each term

2) Theorem:

The Fundamental Theorem of Calculus: Suppose f is continuous on [a, b], then

abfxdx=Fb-F(a), where F is antiderivative of  f, that is F'=f.

3) Calculation:

By using the antiderivative of each term,

18x-23dx=x131381

Applying the Fundamental Theorem of Calculus,

=81313</

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