   Chapter 4.3, Problem 20E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ − 1 1 x 100 d x

To determine

To evaluate: -11x100dx

Explanation

1) Concept:

i) The Fundamental Theorem of Calculus (Part 2)

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:

Consider

-11x100dx

By using the antiderivative of each term,

-11x100dx=

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