Homework Help: How do I integrate these 3 functions?

1. Oct 4, 2004

Odyssey

How do I integrate these 3 functions?

(1) $$\alpha(t-t_{0})=\int_{R_{0}}^{R(\Theta)}\frac{du}{u\sqrt{a^ 2-u^2}}$$

(2) $$\beta(t-t_{0})=\int_{R_{0}}^{R(\Theta)}\frac{du}{u\sqrt{u^ 2+b}}$$

(3) $$\beta(t-t_{0})=\int_{R_{0}}^{R(\Theta)}\frac{du}{u\sqrt{u^ 2-b}}$$

2. Oct 4, 2004

vsage

Last edited by a moderator: Oct 4, 2004
3. Oct 4, 2004

Odyssey

thank you very much. Let me try to work this through.

4. Oct 4, 2004

vsage

Sorry =X hint deleted.

5. Oct 4, 2004

Motifs

The first one can be solved by letting u=asint
The second and the third is with u=sqrt(b).sint/cost
The rest is left for you, honey!

6. Oct 4, 2004

Motifs

What is X hint ????

7. Oct 4, 2004

Odyssey

Thank you very much!! :tongue2:

8. Oct 4, 2004

vsage

I was doing a muting of myself emoticon for nearly the same text you just put up :) Oh well.