Integral of Square Root of Sin(x)

[calculushelp]

Homework Statement

Find the Integral of $$\sqrt{sin(x)}$$

Homework Equations

none

The Attempt at a Solution

People say it's -2/3cos(x)$$^{3/2}$$
which I don't think so or is it?

thank you

 

[Mark44]

Homework Statement

Find the Integral of $$\sqrt{sin(x)}$$

Homework Equations

none

The Attempt at a Solution

People say it's -2/3cos(x)$$^{3/2}$$
which I don't think so or is it?

thank you

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

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.