Is it true that $\int \sqrt { 4 - x ^ { 2 } } d x = \frac { x } { 2 } \sqrt { 4 - x ^ { 2 } } + \arcsin \left( \frac { x } { 2 } \right) + C$ ? Explain why or why not.

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The Answer of Is it true that $\int \sqrt { 4 - x ^ { 2 } } d x = \frac { x } { 2 } \sqrt { 4 - x ^ { 2 } } + \arcsin \left( \frac { x } { 2 } \right) + C$ ? Explain why or why not.

Is It True That ∫4−x2dx=x24−x2+arcsin⁡(x2)+C\int \sqrt { 4 - x ^ { 2 } } d x = \frac { x } { 2 } \sqrt { 4 - x ^ { 2 } } + \arcsin \left( \frac { x } { 2 } \right) + C∫4−x2​dx=2x​4−x2​+arcsin(2x​)+C

Is It True That $\int \sqrt { 4 - x ^ { 2 } } d x = \frac { x } { 2 } \sqrt { 4 - x ^ { 2 } } + \arcsin \left( \frac { x } { 2 } \right) + C$