   Chapter 8.5, Problem 67E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# True or False? In Exercises 67 and 68, determine whether the statement in true or false. If it is false, explain why or give an example that shows it is false. ∫ a b sin x   d x = ∫ a b + 2 π sin x   d x

To determine

Whether the provided statement “absinxdx=ab+2πsinxdx” is true or false.

Explanation

The provided integral is,

absinxdx=ab+2πsinxdx

Let u=x.

Differentiate the above considered function.

du=dx

Substitute u for x and du for dx.

absinudu=ab+2πsinudu

Use the formula for integral of sinudu=cosu+C to find the above integral.

[cosu]ab=[cosu]ab+2π

Substitute x for u

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