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

question 215

Essay

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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