AP

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

\int x^n \log x \, dx =

(a)

\frac{x^{n+1}}{n+1} \left\{ \log x + \frac{1}{n+1} \right\} + c

(b)

\frac{x^{n+1}}{n+1} \left\{ \log x + \frac{2}{n+1} \right\} + c

(c)

\frac{x^{n+1}}{n+1} \left\{ 2 \log x - \frac{1}{n+1} \right\} + c

(d)

\frac{x^{n+1}}{n+1} \left\{ \log x - \frac{1}{n+1} \right\} + c