If ∫dx(1+√x)2010=2α(1+√x)α−2β(1+√x)β+C, where C is arbi – InterviewSolution

1.	If ∫dx(1+√x)2010=2α(1+√x)α−2β(1+√x)β+C, where C is arbitrary constant of integration and α,β>0, then
Answer» If $\int \frac{d x}{{(1 + \sqrt{x})}^{2010}} = \frac{2}{α {(1 + \sqrt{x})}^{α}} - \frac{2}{β {(1 + \sqrt{x})}^{β}} + C,$ where $C$ is arbitrary constant of integration and $α, β > 0,$ then

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