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

Question 46

Multiple Choice

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

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

The Integral ∫x2x2−9dx\int \frac { x ^ { 2 } } { \sqrt { x ^ { 2 } - 9 } } d x∫x2−9​x2​dx

Multiple Choice

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

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