   Chapter 7.R, Problem 35E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ 1 x + x 3 / 2 d x

To determine

To Find:1x+x3/2dx

Explanation

Try to rewrite the integrand so that you can integrate it by using one of the known techniques of integration. For that purpose, write the integrand as shown below:

1x+x3/2dx=1x+xxdx=1x(1+x)dx=1x1+xdx

Substitute 1+x=t2 and differentiate it with respect to x to get

12xdx=2tdt1xdx=4tdt

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