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Integral Calculus

Blazing goIITian

Joined:	18 Feb 2007
Post:	1042

5 Aug 2007 15:54:09 IST

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361

Integration-1

None

(e^2x - 1)/(e^2x + 1)

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ameya sahasrabudhe

Scorching goIITian

Joined: 17 Jul 2007

Posts: 252

5 Aug 2007 16:28:27 IST

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easy naa yaar?

put e^2x +1 =t

we get integral[(t-2)/2t(t-1) dt]

solve this using partial fractions........

we get
log[(e^2x+1)/(e^x)]

rate if satisfied

Marshall Eriksen

Blazing goIITian

Joined: 24 Dec 2006

Posts: 1312

5 Aug 2007 16:28:54 IST

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Put Numerator As :
A(Denominator) + B ( Derivative Of Denominator)
Then Its Very Simple

Neeraj Agarwal

Blazing goIITian

Joined: 22 Jan 2007

Posts: 2039

5 Aug 2007 19:45:10 IST

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or write it as...

(e^x - e^(-x) )/(e^x + e^(-x) )

derivative of denomenator is numerator...so answer is log|e^x + e^(-x)| +c

Sagar Saxena

Forum Expert

Joined: 8 Oct 2008

Posts: 7221

25 Dec 2009 23:44:41 IST

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hiiiiii

start by putting in the problem e^2x +1 =t !!!!!

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