Question

How do you find antiderivative of `2*sqrt(sin x)`?

Answer 1

I'm fairly confident that the antiderivative is not a function expressible using algebraic combinations of algebraic/trigonometric and logarithmic/exponential functions.

We can write it as `f(x) =C+ int sqrt(sinx) dx` for constant `C`. But, other than giving that a name, we're done.