   Chapter 7.5, Problem 55E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ d x x + x x

To determine

To find:

dxx+xx

Explanation

Formula used: 1. Integration by partial fractions

2. dxx=lnx

Calculations:In the given integral I let us suppose

x=u, so that12xdx=du, ordx=2udu

Putting these values of u and du in I we get

I=2uduu2(1+u)=2duu(1+u)

Solving the above integral I by partial fractions, let

fx=1u(1+u)=Au+

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