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The Integral $\int x ^ { 2 } \sqrt { 1 - 9 x ^ { 2 } } d x$

Question 59

Multiple Choice

The integral $\int x ^ { 2 } \sqrt { 1 - 9 x ^ { 2 } } d x$ is

A) $\frac { \sin ^ { - 1 } ( 3 x ) - 6 x \left( 1 - 9 x ^ { 2 } \right) ^ { \frac { 3 } { 2 } } - 3 x \sqrt { 1 - 9 x ^ { 2 } } } { 216 } + C$
B) $\frac { \sin ^ { - 1 } ( 3 x ) - 6 x \left( 1 - 9 x ^ { 2 } \right) ^ { \frac { 3 } { 2 } } + 3 x \sqrt { 1 - 9 x ^ { 2 } } } { 216 } + C$
C) $- \frac { \sin ^ { - 1 } ( 3 x ) - 6 x \left( 1 - 9 x ^ { 2 } \right) ^ { \frac { 3 } { 2 } } - 3 x \sqrt { 1 - 9 x ^ { 2 } } } { 216 } + C$
D) $\frac { \sin ^ { - 1 } ( 3 x ) + 6 x \left( 1 - 9 x ^ { 2 } \right) ^ { \frac { 3 } { 2 } } + 3 x \sqrt { 1 - 9 x ^ { 2 } } } { 216 } + C$
E) $- \frac { \sin ^ { - 1 } ( 3 x ) + 6 x \left( 1 - 9 x ^ { 2 } \right) ^ { \frac { 3 } { 2 } } - 3 x \sqrt { 1 - 9 x ^ { 2 } } } { 216 } + C$

The Integral ∫x21−9x2dx\int x ^ { 2 } \sqrt { 1 - 9 x ^ { 2 } } d x∫x21−9x2​dx

Multiple Choice

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The Integral $\int x ^ { 2 } \sqrt { 1 - 9 x ^ { 2 } } d x$

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