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Evaluation of $int_{e}^{pi} frac{dx}{4(x^2-1)- (x^2-1)^{frac14}2^{-frac14 }}$
I tried many ways to evaluate the below integral but i didn't succeed , I have used Hypergeometric functions but it fails , now My question is the below integral has known closed form ? and how i can evaluate it ?
$$int_{e}^{pi} frac{dx}{4(x^2-1)- (x^2-1)^{frac14}2^{-frac14 }}$$
Note Wolfram alpha show that is a positive integrand as shown here
integration hypergeometric-function
asked Nov 21 '18 at 20:11
zeraoulia rafikzeraoulia rafik
2,38711029
add a comment |
I tried many ways to evaluate the below integral but i didn't succeed , I have used Hypergeometric functions but it fails , now My question is the below integral has known closed form ? and how i can evaluate it ?
$$int_{e}^{pi} frac{dx}{4(x^2-1)- (x^2-1)^{frac14}2^{-frac14 }}$$
Note Wolfram alpha show that is a positive integrand as shown here
integration hypergeometric-function
asked Nov 21 '18 at 20:11
zeraoulia rafikzeraoulia rafik
2,38711029
I highly doubt it has a closed form.
– clathratus
Nov 24 '18 at 6:12
add a comment |
I tried many ways to evaluate the below integral but i didn't succeed , I have used Hypergeometric functions but it fails , now My question is the below integral has known closed form ? and how i can evaluate it ?
$$int_{e}^{pi} frac{dx}{4(x^2-1)- (x^2-1)^{frac14}2^{-frac14 }}$$
Note Wolfram alpha show that is a positive integrand as shown here
integration hypergeometric-function
asked Nov 21 '18 at 20:11
zeraoulia rafikzeraoulia rafik
2,38711029
I tried many ways to evaluate the below integral but i didn't succeed , I have used Hypergeometric functions but it fails , now My question is the below integral has known closed form ? and how i can evaluate it ?
$$int_{e}^{pi} frac{dx}{4(x^2-1)- (x^2-1)^{frac14}2^{-frac14 }}$$
Note Wolfram alpha show that is a positive integrand as shown here
integration hypergeometric-function
integration hypergeometric-function
asked Nov 21 '18 at 20:11
zeraoulia rafikzeraoulia rafik
2,38711029
asked Nov 21 '18 at 20:11
zeraoulia rafikzeraoulia rafik
2,38711029
edited Nov 21 '18 at 20:27
zeraoulia rafik
asked Nov 21 '18 at 20:11
zeraoulia rafikzeraoulia rafik
2,38711029
asked Nov 21 '18 at 20:11
zeraoulia rafikzeraoulia rafik
2,38711029
asked Nov 21 '18 at 20:11
zeraoulia rafikzeraoulia rafik
2,38711029
2,38711029
I highly doubt it has a closed form.
– clathratus
Nov 24 '18 at 6:12
add a comment |
I highly doubt it has a closed form.
– clathratus
Nov 24 '18 at 6:12
I highly doubt it has a closed form.
– clathratus
Nov 24 '18 at 6:12
I highly doubt it has a closed form.
– clathratus
Nov 24 '18 at 6:12
add a comment |
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I highly doubt it has a closed form.
– clathratus
Nov 24 '18 at 6:12