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Integration (1 Viewer)

Thread starter nerdyasian
Start date Jul 14, 2010

N

nerdyasian

Member

#1

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

thanks.
what i've done seems too long to be right.

ninetypercent

ninety ninety ninety

#2

$\int \frac{x+1}{\sqrt{x^2-1}} dx = \int \frac{x}{\sqrt{x^2-1}}dx + \int \frac{1}{\sqrt{x^2-1}} dx \\ = \sqrt{x^2-1}+ ln\left | x + \sqrt{x^2-1} \right | + c$

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