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Question Number 483 by 13/NaSaNa(N)056565 last updated on 25/Jan/15

$$\int \frac{1}{\sqrt{x-1}}dx$$$$$$

Answered by 123456 last updated on 12/Jan/15

$$\int \frac{dx}{\sqrt{x-1}}$$$$u=x-1$$$$du=dx$$$$\int \frac{du}{\sqrt{u}}=\int u^{-1/2}du=\frac{1}{1/2}{u}^{1/2}+c$$$$=2\sqrt{u}+c=2\sqrt{x-1}+c$$

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