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Indefinite integral:

 integral sin(x) cos^2(x) dx = -1\/3 cos^3(x) + constant


Series expansion of the integral at x=0:

-1\/3 + x^2\/2 - (7 x^4)\/24 + O(x^5)\n(Taylor series)


Definite integral over a half-period:




Definite integral mean square:

 integral_0^(2 pi) (cos^4(x) sin^2(x))\/(2 pi) dx = 1\/16 = 0.0625

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