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  Integration from 0 to infinity x2cosx / (xsinx)2

3 years ago

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Answers : (2)

                                        

=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 

3 years ago
                                        integral x^2cosx/(xsinx)^2 dx
=integral cotx cosecx dx
=- cosecx +C

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
one year ago

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