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10h
comment Computing a double gamma-digamma-trigamma series
@DavidH Yes, it's a great adventure :-) Unfortunately some of the integrals above are pretty difficult, they require much cleverness in order to be calculated, but, well, that makes the problems more appealing.
1d
comment Another integral related to Fresnel integrals
@tired interesting paper, good to know (+1).
1d
comment Another integral related to Fresnel integrals
@EnjoysMath For notations, see Fresnel integrals link here mathworld.wolfram.com/FresnelIntegrals.html and for the Sine integral check this link mathworld.wolfram.com/SineIntegral.html.
1d
revised Another integral related to Fresnel integrals
added 68 characters in body
1d
asked Another integral related to Fresnel integrals
1d
accepted Calculating $\int_0^{\pi/4} \frac{\cot (x)}{\cot ^2(x)+\sqrt{\cot (x)}} \, dx$
2d
awarded  Socratic
2d
comment Calculating in closed form another digamma alternating series
@Dr.MV they simply cross my mind every day. :-)
2d
accepted Calculating in closed form another digamma alternating series
2d
comment Calculating in closed form another digamma alternating series
Yeah, I guess so.
2d
comment Calculating in closed form another digamma alternating series
okkkkkkkkkk(+1) Do you think we can do it by series manipulation only?
2d
comment Calculating in closed form another digamma alternating series
(+1) It seems it works nice. Do you think we can also finish it by series manipulation only?
2d
revised Calculating in closed form another digamma alternating series
added 8395 characters in body
2d
revised Calculating in closed form another digamma alternating series
added 8395 characters in body
2d
asked Calculating in closed form another digamma alternating series
2d
comment Calculating $\int_0^{\pi/4} \frac{\cot (x)}{\cot ^2(x)+\sqrt{\cot (x)}} \, dx$
I think you're greater than almost all I know (well, just the opinion of a self-educated).
2d
comment Calculating $\int_0^{\pi/4} \frac{\cot (x)}{\cot ^2(x)+\sqrt{\cot (x)}} \, dx$
@tired I'm working on it.
2d
comment Calculating $\int_0^{\pi/4} \frac{\cot (x)}{\cot ^2(x)+\sqrt{\cot (x)}} \, dx$
You're so great at integration (+1). I felt we could use some clever double integrals and finish all very fast, but ...
2d
revised Calculating $\int_0^{\pi/4} \frac{\cot (x)}{\cot ^2(x)+\sqrt{\cot (x)}} \, dx$
added 115 characters in body
2d
asked Calculating $\int_0^{\pi/4} \frac{\cot (x)}{\cot ^2(x)+\sqrt{\cot (x)}} \, dx$