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If Un=int0^pi(1-cosnx)/(1-cosx)dx , wher...

If `U_n=int_0^pi(1-cosnx)/(1-cosx)dx ,` where `n` is positive integer or zero, then show that `U_(n+2)+U_n=2U_(n+1)dot` Hence, deduce that `int_0^(pi/2)(sin^2ntheta)/(sin^2theta)=1/2npidot`

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CENGAGE ENGLISH-INTEGRALS-All Questions
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