The integral $\int x ^ { 2 } \ln x d x$ is

A) $\frac { x ^ { 3 } ( 3 \ln x + 1 ) } { 9 } + C$
B) $\frac { x ^ { 3 } ( 3 \ln x + 2 ) } { 9 } + C$
C) $\frac { 2 x ^ { 3 } ( 3 \ln x - 1 ) } { 9 } + C$
D) $\frac { x ^ { 3 } ( 3 \ln x - 2 ) } { 9 } + C$
E) $\frac { x ^ { 3 } ( 3 \ln x - 1 ) } { 9 } + C$

Question

The integral $\int x ^ { 2 } \ln x d x$ is

A) $\frac { x ^ { 3 } ( 3 \ln x + 1 ) } { 9 } + C$
B) $\frac { x ^ { 3 } ( 3 \ln x + 2 ) } { 9 } + C$
C) $\frac { 2 x ^ { 3 } ( 3 \ln x - 1 ) } { 9 } + C$
D) $\frac { x ^ { 3 } ( 3 \ln x - 2 ) } { 9 } + C$
E) $\frac { x ^ { 3 } ( 3 \ln x - 1 ) } { 9 } + C$

Quizplus · Accepted Answer

The Answer is E

The Integral ∫x2ln⁡xdx\int x ^ { 2 } \ln x d x∫x2lnxdx

The Integral $\int x ^ { 2 } \ln x d x$