Answer
$y=\frac{x^4}{4}+4$
Work Step by Step
$\frac{dy}{dx}=x^3;$ $y(0)=4$
$dy=x^3dx$
$\int dy=\int x^3dx$
$y=\frac{x^4}{4}+C$
Substitute in initial condition
$4=0+C$
$C=4$
$y=\frac{x^4}{4}+4$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 5 - The Integral - 5.3 The Indefinite Integral - Exercises - Page 252: 47
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