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Single Variable Calculus

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Difficult

Integration a Square Root of a Linear Expression

SVCALC-K70WEG

Find $\int 3x\sqrt{x+1} \ dx$

A

$2x(x+1)^{3/2}+C$

B

$\frac{6}{5}(x+1)^{5/2} - 2(x+1)^{3/2}+C$

C

$3\sqrt{x+1} + \frac{3}{2}x(x+1)^{-1/2}+C$

D

$x^2(x+1)^{3/2}+C$