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:
$$\cos^{2}x=\frac{1+\cos2x}{2}$$