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Integral Calculus

Blazing goIITian

Joined:	3 Sep 2008
Post:	1166

23 Jul 2009 22:27:31 IST

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INTEGRATE tan x tan 2x tan 3x

None

INTEGRATE

1)tan x tan 2x tan 3x dx

2)e^x(cos x-sin x)dx

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NugoRama

Blazing goIITian

Joined: 11 Mar 2009

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23 Jul 2009 22:29:32 IST

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tan3x = tan (2x + x )
= (tan 2x + tan x )/( 1 - tanx tan2x )
tan3x - tanx tan2x tan3x = tan2x + tanx

tanx tan2x tan3x = tan3x - tan2x - tanx

Now integrate

Ankit

Blazing goIITian

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23 Jul 2009 22:34:21 IST

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Nugo has already given the method. General expression

tan (A+B) tan(A) .tan(B) = tan(A+B) - tan(A) - tan(B)

Jabroo !!

Blazing goIITian

Joined: 3 Sep 2008

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23 Jul 2009 22:37:47 IST

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wat bout the second1??

NugoRama

Blazing goIITian

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Posts: 5517

23 Jul 2009 22:39:59 IST

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Thats simple thoma ...use the identity for int e^x [ f(x) + f'(x) ] = e^x f(x)

Jabroo !!

Blazing goIITian

Joined: 3 Sep 2008

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23 Jul 2009 22:40:33 IST

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okay thankx nugo

milind

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5 Jan 2012 14:58:50 IST

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INTEGRATE tan^4tanx dx

vineet

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Joined: 24 Jan 2012

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24 Jan 2012 21:07:02 IST

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full solution of this

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