Integration of (sinx)^1/2?

1 Answer
Jun 14, 2018

Please see below.

Explanation:

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int(sinx)^(1/2)dx=intsqrtsinxdx=-2E(1/4(pi-2x)|2)+C

E(x|m) is the elliptic integral of the second kind with parameter m=k^2.

This is a non-elementary integral.