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

Question 129

Multiple Choice

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

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

The Integral ∫x4x−x2dx\int \frac { x } { \sqrt { 4 x - x ^ { 2 } } } d x∫4x−x2​x​dx

Multiple Choice

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

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