   Chapter 4.R, Problem 15E

Chapter
Section
Textbook Problem

# Evaluate the integral, if it exists. ∫ 1 9 u − 2 u 2 u   d u

To determine

To evaluate:

19u-2u2udu if it exists

Explanation

1) Concept:

By using fundamental theorem of calculus and rules of integration evaluate the given integral.

2) Theorem:

Fundamental theorem of calculus:

If f is continuous on [a, b], then abfxdx=Fb-F(a).

3) Formula:

xndx=xn+1n+1+C

3) Given:

19u-2u2udu

4) Calculation:

Consider, 19u-2u2udu

Simplify,

=19u12u-2u2udu

=19(u-12-2u) du

Since the function is continuous in the given interval, the integral exists

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