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Mathematics

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 Joined: 15 Feb 2012 Post: 180
29 Feb 2012 11:09:21 IST
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Engineering Entrance , JEE Main , CBSE Board , JEE Main & Advanced , Mathematics , Integral Calculus , CBSE XII (Science) , Mathematics I , Mathematics II

integrate  1/{x2(5x2-1)1/2}

Hot goIITian

Joined: 18 Jan 2012
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1 Mar 2012 16:41:14 IST
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Put x = 1/t...  the rest is just too easy...

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3 Mar 2012 14:03:38 IST
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$\hspace{-16}\mathbf{\int\frac{1}{x^2.\sqrt{5x^2-1}}dx}\\\\\\ Let \mathbf{\frac{\sqrt{5x^2-1}}{x}=t}\\\\\\ \mathbf{\Leftrightarrow \frac{1}{x^2.\sqrt{5x^2-1}}dx=dt}\\\\\\ So Integral is \mathbf{\int 1.dt=t+c}\\\\\\ So \mathbf{\int\frac{1}{x^2.\sqrt{5x^2-1}}dx=\frac{\sqrt{5x^2-1}}{x}+C}$

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