   Chapter 7.5, Problem 34E

Chapter
Section
Textbook Problem

# 7.5 EXERCISESEvaluate the integral. ∫ π / 4 π / 2 1 + 4 cot x 4 − cot x d x

To determine

To find:

π/4π/21+4cotx4-cotxdx

Explanation

Formula used:dxx=lnx

Calculations:

Let fx=1+4cotx4-cotx

Simplifying fx we get

fx=sinx+4cosx4sinx-cosx

Let 4sinx-cosx=t such that (4cosx+sinx)dx=dt

The limit for t ar

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