Solving Integration Problem: Get Expert Advice

[birdhen]

I am having problems trying to solve the following problem and wondered if anyone could point me in the right direction..

Ht=integral of:(((1-omega)*a^-1+(omega*a^-2))^-1/2)da

cheers

 

[tiny-tim]

Welcome to PF!

I am having problems trying to solve the following problem and wondered if anyone could point me in the right direction..

Ht=∫(da/√((1- ω)*a^-1+(ω*a^-2))

cheers

Hi birdhen! Welcome to PF!

(have an integral: ∫ and a square-root: √ and an omega: ω )

Hint: multiply top and bottom by a (to get rid of the nasty inverses ), and then complete the square …

in other words, put the bracket into the form something² ± a constant.

 

[birdhen]

thank you!