Answer
$$\int (2x^{2}+1)e^{x^{2}}dx=xe^{x^{2}}+C$$
Work Step by Step
$$\int (2x^{2}+1)e^{x^{2}}dx=\int x(2xe^{x^{2}})dx+\int e^{x^{2}}dx$$
$$=xe^{x^{2}}- \int e^{x^{2}}dx+\int e^{x^{2}}dx$$
$$=xe^{x^{2}}+C$$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 7 - Section 7.5 - Strategy for Integration - 7.5 Exercises - Page 508: 83
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