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Integral Calculus

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6 Jan 2009 22:06:45 IST

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integration of

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Integral Calculus

integration of

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nipun

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6 Jan 2009 22:10:04 IST

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integration of 1/{sin x(2+cos x)}

venkat

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6 Jan 2009 22:18:03 IST

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1/{sin x(2+cos x)}

convert sinx and cosx in terms of tan(x/2) and then solve it.

my editor is not working properly so sorry for the interuption.

all the best for your exams.

please reply me.

nipun

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6 Jan 2009 22:54:16 IST

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nipun

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6 Jan 2009 23:12:29 IST

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venkat

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Joined: 30 Nov 2008

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6 Jan 2009 23:28:24 IST

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1/{sin x(2+cos x)}

={1+tan^2(x/2)}{1+tan^2(x/2)}/{2tan(x/2)/1+tan^2(x/2)}{2+2tan^2(x/2)+1-tan^2(x/2)}

take tan(x/2)=t that implies {sec^2(x/2)}/{2}dx=dt

=(1+t^2)dt/(t)(3+t^2)

now use partial fraction to get the answer.i got it.

try to get it.even though your answer does not match with that given in the book.don't wory as there can be more than one answer for same question.

all the best for your exams.

please reply me.

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