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

Question 125

Multiple Choice

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

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

The Integral ∫x2+4x2dx\int \frac { \sqrt { x ^ { 2 } + 4 } } { x ^ { 2 } } d x∫x2x2+4​​dx

Multiple Choice

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

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