Answer
$4x^{3}+4x^{2}+C$
Work Step by Step
$\int(x(12x+8))dx$
Distribute: $\int(12x^{2}+8x)dx$.
Use power rule for antiderivatives on each of the two terms:
$\frac{12}{3}x^{3}+\frac{8}{2}x^{2}+C$.
Simplify fractions: $4x^{3}+4x^{2}+C$.
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 4 - Section 4.9 - Antiderivatives - 4.9 Exercises - Page 355: 5
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