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Integral Calculus

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Joined:	3 Feb 2009
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4 Feb 2009 13:56:28 IST

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integral 1/(1+4cotsquare x) why cant be done by converting to tansq.x limit 0 to 90degri

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i tried to do this q by writing cot²xas 1/tan²x but did nt got d answer also it ws written that i cant do it in dis question for gven limits reason??? if my method right giv solⁿ

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Atul Mohan

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Joined: 24 Jan 2009

Posts: 44

4 Feb 2009 19:21:30 IST

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YOU CAN DO IT LIKE THIS....MUTIPLY NUMERATOR AND DENOMENATOR BY TAN^2 X ( YOUR FAVOURITE)....THEN BY SEC^2X...YOU'LL GET (SEC^2X * TAN^2X dX)/ (SEC^2X(TAN^2X+4).. NOW PUT TAN^2X=T dT=SEC^2X dX....REWRITE NOW..YOU'LL GET In(0, INFINITE) T^2 dT/(I+T^2)(T^2+4)... NOW DO IT BY PARTIAL FRACTION PLS RATE IF YOU LIKE

vnkt. swaroop

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Joined: 13 Jun 2008

Posts: 611

4 Feb 2009 19:45:00 IST

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now takr sinx=t cosxdx=dt

now try to solve it.if you are not getting it then ask me then i will post the solution.

tell me whether i am correct or not?

reply is must.

Deepak

Forum Expert

Joined: 19 Jan 2009

Posts: 304

10 Feb 2009 01:23:10 IST

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first part can be solved easily by puting tanx = t

for second part multiply n divide by sec²x in num. write sec^2x = 1 + tan²x n put tanx = z

denp. becomes (1 + t²)(4 + t²)

solve using partial fraction taking

try urself

i think this much u can do

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