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

Question 71

Multiple Choice

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

A) $- \frac { 4 \ln \left( 6 \sqrt { 9 x ^ { 2 } - 4 } + 18 x \right) + 3 x \sqrt { 9 x ^ { 2 } - 4 } } { 54 } + C$
B) $\frac { 4 \ln \left( 6 \sqrt { 9 x ^ { 2 } - 4 } - 18 x \right) + 3 x \sqrt { 9 x ^ { 2 } - 4 } } { 54 } + C$
C) $\frac { 4 \ln \left( 6 \sqrt { 9 x ^ { 2 } - 4 } - 18 x \right) - 3 x \sqrt { 9 x ^ { 2 } - 4 } } { 54 } + C$
D) $\frac { 4 \ln \left( 6 \sqrt { 9 x ^ { 2 } - 4 } + 18 x \right) + 3 x \sqrt { 9 x ^ { 2 } - 4 } } { 54 } + C$
E) $\frac { 4 \ln \left( 6 \sqrt { 9 x ^ { 2 } - 4 } + 18 x \right) - 3 x \sqrt { 9 x ^ { 2 } - 4 } } { 54 } + C$

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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