What is the integral of sqrt(sin(x))?

Answer by  willard (874)

This integral doesn't reduce to familiar functions, but is rather an elliptic integral of the second kind. So, Integral of sqrt(sin x) = -2E((pi-2x)/4 | 2) where E is the elliptic integral of the second kind. elliptic integrals can be found in math references or calculated using programs like Maple.

Answer by  jsmith (2067)

Its not as hard as you may think. √sin(x)is the same thing as saying sin^(1/2 x) Also, you need to remember that the integral of sin(x) is -cos(x) + c. Finally, remember that the integral of any x^n is (x^n+1) / n+1 + c Thus, ∫sin^(1/2 x) = ( -cos ^3/2 x) / 3/2 + c