For the following two integrals,

1.

2.

is there any closed forms in terms of (Star)trigonometric functions(Star) ???

thanks for helping

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- Jan 23rd 2008, 12:01 AMgraticcioIntegration - looking for closed form
For the following two integrals,

1.

2.

is there any closed forms in terms of (Star)trigonometric functions(Star) ???

thanks for helping - Jan 23rd 2008, 12:16 AMmr fantastic
- Jan 23rd 2008, 12:24 AMgraticcio
yes, but there appears to be a pattern...

some arctan and some log...

can we use any trigonometric substitution to evaluate?

thanks - Jan 23rd 2008, 01:00 AMmr fantastic
- Jan 23rd 2008, 02:20 AMgraticcio
so what is the relationship between hypergeometric function and trigonometric function in this case ???

or how to represent the hypergeometric function here by trigonometric functions?

thanks - Jan 23rd 2008, 02:27 AMwingless
- Jan 23rd 2008, 02:48 AMgraticcio
they converge with x<1

- Jan 23rd 2008, 03:08 AMwingless