   Chapter 7.6, Problem 41E

Chapter
Section
Textbook Problem

# 37–44 Use a computer algebra system to evaluate the integral. Compare the answer with the result of using tables. If the answers are not the same, show that they are equivalent. ∫ cos 4 x   d x

To determine

To Find: The value of the integral cos4xdx

Explanation

Calculations: From the table of integrals the entry 74 gives

cosnudu=1ncosn1usinu+n1ncosn2udu

Applying the Formula, we can write

cos4xdx=14cos3xsinx+34cos2xdx

Applying the formula again, we get

cos2xdx=12cosxsinx+12cos0xdx=sin2x4+x2

Hence

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