Hi How do I do integrate: (sinx)^n * (cosx)^2 when it is a definite integral between x = pi/2 and x = 0
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Originally Posted by Sunyata Hi How do I do integrate: (sinx)^n * (cosx)^2 when it is a definite integral between x = pi/2 and x = 0 Put cos(x) = t -sin(x)dx = dt dx= - dt/sin(x) So Integration I = - intg[(sinx)^n*t^2*dt/sin(x) = - intg[(sinx)^(n-1)*t^2*dt. Now do the integration by parts.
This is NOT a candidate for "integration by parts". I would be inclined to use the fact that and write . Those can be done by the "reduction integrals" given in any Calculus book.
hi = = =
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