?In the following exercises, verify each identity using differentiation. Then, using the
Chapter 5, Problem 256(choose chapter or problem)
In the following exercises, verify each identity using differentiation. Then, using the indicated u-substitution, identify f such that the integral takes the form \(\int f(u) d u\).
\(\int x \sqrt{x+1} d x=\frac{2}{15}(x+1)^{3 / 2}(3 x-2)+C\) ; u=x+1
Text Transcription:
int f(u) du
int x sqrt x+1 dx=2/15 (x+1)^3/2 (3 x-2) +C
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