If ∫dx(1+√x)2010=2[1α(1+√x)α−1β(1+√x)β]+c, where c is co – InterviewSolution

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

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