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Integral Calculus

Blazing goIITian

Joined:	15 Aug 2008
Post:	585

9 Nov 2009 16:21:34 IST

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INTEGRATE PLEASE BIPIN SIR

None

please bipin sir

INTEGRATE

3 + 2 cos x/ ( 2 + 3 cos x ) ^2 .dx

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jee-do or die

Blazing goIITian

Joined: 15 Aug 2008

Posts: 585

9 Nov 2009 16:34:25 IST

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BIPIN SIR I AM USING CURRENTLY AMIT . M. AGARWAAL ...ARIHANT INTEGRAL CALCULUS SHUD I CONTINUE DOING IT OR SHUD I USE ANOTHER BOOK TO CLEAR MY BASICS IN INTEGRATION

IF ANY PLZ TELL THE BOOK SIR

REGARDS ,

OMKAR

Bipin Dubey

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Joined: 23 Jan 2007

Posts: 7942

9 Nov 2009 16:43:03 IST

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$I=\int_{.}^{.}\frac{3+2cosx}{(2+3cosx)^{2}}dx$

$I=\int_{.}^{.}\frac{3(sin^{2}x+cos^{2}x)+2cosx}{(2+3cosx)^{2}}dx$

$I=\int_{.}^{.}\frac{cosx(2+3cosx)+3sin^{2}x}{(2+3cosx)^{2}}dx$

$I=\int_{.}^{.}\frac{(2+3cosx)d(sinx)-(sinx)d(2+3cosx)}{(2+3cosx)^{2}}dx$

$I=\int_{.}^{.}d\left( \frac{sinx}{2+3cosx}\right)$

$I=\frac{sinx}{2+3cosx}+c$

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