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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

Question 215

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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 ? Explain why or why not.

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