anonymous
  • anonymous
how to integrate the following: Integration [(1+cos x ) /sin x . cos x ] w. r. t. dx.
MIT 8.01 Physics I Classical Mechanics, Fall 1999
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anyone please??/
anonymous
  • anonymous
are w. r. t constants? if so. 1+cos x/(sin x . cos x) = 1/(sin x . cos x) + 1/(sin x) = 2/sin 2x + 1/(sin x) = 2 . Cosec 2x + Cosec x. in this form you can find the integral in an integration table. I hope it helps.
anonymous
  • anonymous
yep.. thank you sir @juancarlosquintero_EC

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anonymous
  • anonymous
Take 1+cosx = cos^2(x/2)+sin^2(x/2)+cos^2(x/2)-sin^2(x/2) = 2*cos^2(x/2) Similarly, break the terms in denominator and then cancel the common terms. Finally write dx=2*d(x/2) And integrate the expression wrt d(x/2). :)

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