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The Integral $\int \frac { 1 } { \sqrt { 5 - 2 x - x ^ { 2 } } } d x$

Question 45

Multiple Choice

The integral $\int \frac { 1 } { \sqrt { 5 - 2 x - x ^ { 2 } } } d x$ is

A) $- \sin ^ { - 1 } \left( \frac { x + 1 } { \sqrt { 6 } } \right) + C$
B) $\sin ^ { - 1 } \left( \frac { x - 1 } { \sqrt { 6 } } \right) + C$
C) $- \sin ^ { - 1 } \left( \frac { x - 1 } { \sqrt { 6 } } \right) + C$
D) $\sin ^ { - 1 } \left( \frac { - x - 1 } { \sqrt { 6 } } \right) + C$
E) $- \sin ^ { - 1 } \left( \frac { - x - 1 } { \sqrt { 6 } } \right) + C$

The Integral ∫15−2x−x2dx\int \frac { 1 } { \sqrt { 5 - 2 x - x ^ { 2 } } } d x∫5−2x−x2​1​dx

Multiple Choice

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The Integral $\int \frac { 1 } { \sqrt { 5 - 2 x - x ^ { 2 } } } d x$

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