SOLUTION: Find the exact value of the integral {{{int((sinx)^m/((sinx)^m + (cosx)^m), dx, 0, pi/2)}}} for all values of m.

SOLUTION: Find the exact value of the integral {{{int((sinx)^m/((sinx)^m + (cosx)^m), dx, 0, pi/2)}}} for all values of m.

Algebra.Com

Question 453405: Find the exact value of the integral for all values of m.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let x = . Substitute for x in the integral.

=
=
= =
==> - =
<==> =
==> =
Therefore

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