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The Integral $\int \frac { x ^ { 2 } } { \sqrt { 9 x ^ { 2 } + 4 } } d x$

Question 21

Multiple Choice

The integral $\int \frac { x ^ { 2 } } { \sqrt { 9 x ^ { 2 } + 4 } } d x$ is

A) $- \frac { 3 x \sqrt { 9 x ^ { 2 } + 4 } + 4 \sinh ^ { - 1 } \left( \frac { 3 x } { 2 } \right) } { 54 } + C$
B) $\frac { 3 x \sqrt { 9 x ^ { 2 } + 4 } - \sinh ^ { - 1 } \left( \frac { 3 x } { 2 } \right) } { 54 } + C$
C) $- \frac { 3 x \sqrt { 9 x ^ { 2 } + 4 } - 4 \sinh ^ { - 1 } \left( \frac { 3 x } { 2 } \right) } { 54 } + C$
D) $\frac { 3 x \sqrt { 9 x ^ { 2 } + 4 } + 4 \sinh ^ { - 1 } \left( \frac { 3 x } { 2 } \right) } { 54 } + C$
E) $\frac { 3 x \sqrt { 9 x ^ { 2 } + 4 } - 4 \sinh ^ { - 1 } \left( \frac { 3 x } { 2 } \right) } { 54 } + C$

The Integral ∫x29x2+4dx\int \frac { x ^ { 2 } } { \sqrt { 9 x ^ { 2 } + 4 } } d x∫9x2+4​x2​dx

Multiple Choice

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The Integral $\int \frac { x ^ { 2 } } { \sqrt { 9 x ^ { 2 } + 4 } } d x$

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