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Integral Calculus

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26 Nov 2007 11:26:01 IST

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integrate sqrt(tanx)=?

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integrate sqrt(tanx)=?

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GAURAV SHARMA

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Joined: 7 Aug 2007

Posts: 184

26 Nov 2007 11:33:10 IST

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THIS IS DONE BY SUBSTITUTING tanx AS t²,

THEN sec²x dx=2t dt,

sec²x = 1+t⁴

then the integral becomes

_{[ ]}

^{[ ]} (2t²dt)/ 1+t⁴

which can be written as

^{[ ]} (t²+1dt)/ 1+t⁴+

^{[ ]} (t²-1dt)/ 1+t⁴

i think this becomes easier now....

as tthe above expression is very familiar type of integration.

ALL THE BEST

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