# How do I integrate these 3 functions?

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

A million thanks in advance.

## Answers and Replies

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

vsage
Odyssey said:
thank you very much. Let me try to work this through.

Sorry =X hint deleted.

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!

vsage said:
Sorry =X hint deleted.
What is X hint ????

Motifs said:
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!

Thank you very much!! :tongue2:

vsage
Motifs said:
What is X hint ????

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