# Integration(think differently)

Calculus Level 4

If I =$$\int \sqrt \frac{(5-x)}{(2+x)} .dx$$ is of the form $$I=\sqrt (x+a) \sqrt (b-x)+c\sin^{-1} \sqrt \frac{x+d}{e} +k$$ where k is constant of integration. Find $$a+b+c+d+e$$

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