Single Variable Calculus

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Difficult

Integration by Parts and Substitution

SVCALC-XKVHL6

Evaluate the integral:

$$\int x\ln(x+5)$$

A

$\frac{x^2-25}{2}\ln (x+5) + \frac{1}{2}x^2 -5x + C$

B

$\frac{x^2-25}{2}\ln x - \frac{1}{4}x^2 +\frac{5}{2}x + C$

C

$x^2 \ln(x+5) + x\ln(x^2+5x)+C$

D

$x^2 \ln(x+5) +C$