Evaluate $\int \left( \frac { x } { 9 } - 9 \right) ^ { 2 / 9 } d x$
A) $\left( \frac { x } { 9 } - 9 \right) ^ { 11 / 9 } + C$
B) $\frac { 9 } { 11 } \left( \frac { x } { 9 } - 9 \right) ^ { 11 / 9 } + C$
C) $\frac { 81 } { 11 } \left( \frac { x } { 9 } - 9 \right) ^ { 11 / 9 } + C$
D) $\frac { x ^ { 2 } } { 18 } - 9 x + C$

Question

Quizplus · Accepted Answer

The integral of $\left( \frac{x}{9} - 9 \right)^{2/9}$ is $\frac{81}{11} \left( \frac{x}{9} - 9 \right)^{11/9} + C$ using the power rule for integration and adjusting for the derivative of the inner function.

Evaluate ∫(x9−9)2/9dx\int \left( \frac { x } { 9 } - 9 \right) ^ { 2 / 9 } d x∫(9x​−9)2/9dx

Evaluate $\int \left( \frac { x } { 9 } - 9 \right) ^ { 2 / 9 } d x$