# Homework Help: Integral of Square Root of Sin(x)

1. Jan 26, 2010

### calculushelp

1. The problem statement, all variables and given/known data
Find the Integral of $$\sqrt{sin(x)}$$

2. Relevant equations
none

3. The attempt at a solution

People say it's -2/3cos(x)$$^{3/2}$$
which I dont think so or is it?

thank you

2. Jan 26, 2010

### Staff: Mentor

$$\int \sqrt{sin(x)} dx = \int sin^{1/2}(x) dx$$

The people you mention are using the formula
$$\int u^{1/2} du = \frac{2}{3}u^{3/2} + C$$
but are doing so incorrectly.

In the problem you gave, u = sin(x), but du = cos(x)dx, which is not present, so the formula I gave above is not applicable.