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Integration from 0 to infinity x 2 cosx / (xsinx) 2


  Integration from 0 to infinity x2cosx / (xsinx)2

Grade:12th Pass

2 Answers

Swapnil Saxena
102 Points
9 years ago

=x2cos(x)/(xsin(x))2

=x2cos(x)/x2sin(x)2

= cos(x)/sin2(x)

= cot(x)cosec(x)

Integrating it gives -cosec(x) 

Definite Integral frm 0 to infiniity is cosec(0)+cosec(infinity) ---> undefined 

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
integral x^2cosx/(xsinx)^2 dx
=integral cotx cosecx dx
=- cosecx +C

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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