Answer
$\int xe^{2x^2-1}dx=\frac{1}{4}e^{2x^2-1}+C$
Work Step by Step
Substitution:
$u=2x^2-1$
$\frac{du}{dx}=4x$
$dx=\frac{1}{4x}du$
$\int xe^{2x^2-1}dx=\int xe^u(\frac{1}{4x})du=\int\frac{1}{4}e^udu=\frac{1}{4}e^u+C=\frac{1}{4}e^{2x^2-1}+C$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 13 - Section 13.2 - Substitution - Exercises - Page 971: 28
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