   Chapter 7.3, Problem 19E

Chapter
Section
Textbook Problem

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

To determine

To Find: The value of the integral 1+x2xdx

Explanation

Calculations: Substitute x=tanu,dx=sec2udu

1+x2xdx=1+tan2utanusec2udu=secutanusec2udu=secu(1+tan2u)tanudu=secutanudu+secutan2utanudu=cscudu+secutanudu=ln|cscucotu|+secu+C

Sincex=tan</

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