# Help with integrating these simple functions

1. Sep 30, 2004

### ACLerok

how do i integrate sqrt(3-(x^2))/sqrt(3)? i put the sqrt(3) outside the integral and tried using the substitution method to integrate it but there is still an x in there?

same thing with integrating sqrt(3-3*(x^2))

Thanks!!! This thing is due tomorrow..

2. Sep 30, 2004

### vsage

that's a classic trig substitution case. (Use sine trig substitution).

3. Sep 30, 2004

### ACLerok

both of them?

4. Sep 30, 2004

### vsage

Yeah it's not that much different with both.. just different coefficients you have to pull out of the square root.

5. Sep 30, 2004

### ACLerok

alright i think i almost got it.. now i have another question, whats the integral of cos^2(x)?

Last edited: Oct 1, 2004
6. Oct 1, 2004

### arildno

You've got the identity:
$$\cos^{2}x=\frac{1+\cos2x}{2}$$