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Grade 12Integral Calculus

1:-I=∫1/(sin3x) dx from 0 to ∏

Profile image of MITHRESH K PUSHPAN
16 Years agoGrade 12
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear Mithresh

I=oπ 1/(sin3x) dx 

  =oπ sinx/(sin4x) dx

  =oπ sinx/(1-cos2x)2 dx

 cosx =t

-sinxdx =dt

I=1-1 -dt/(1-t2)2

 =-11 dt/(1-t2)2

 =2 01 dt/(t-1)2(t+1)2

 use partial fraction and intigrate

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