Question

Hello :) I am having trouble integrating this problem it's related with a part of Gamma functions and Fresnel Integral

Answer 1

\[\int\limits_{0}^{\infty}\sin(u^2)du\]

Answer 2

@Photon336 @mathstudent55

Answer 3

is there a specific gamma function formula for these type of integrals?

Answer 4

https://en.wikipedia.org/wiki/Fresnel_integral#Properties

Answer 5

" The limits of these functions as x goes to infinity are known:..."

Answer 6

Wikipedia can offer you the answer but not the process I guess...

Answer 7

There are some formulas for the integrals in terms of erf and erfi IIRC

Answer 8

@inkyvoyd thank you for sharing this link i looked it up it's in the definition of error functions and elementary functions but i need to know how do we integrate it like what are the steps to it using gamma functions

Answer 9

Please anyone some help would be appreciated.
You also provide links of videos to help me understand i tried and search most of them were too complicated and direct

Answer 10

@Photon336 hey buddy do you know anyone who could help me with this :/

Answer 11

like is there any direct formula of gamma functions on how to evaluate these type of integrals? or is there a process as in steps?

Answer 12

totally talking out of my as5 here but can you do this as the imaginary part of the full integration

and it's a definite integral so you can Feynman it too.

i know that sounds vague, lol, but if i actually knew how to do it, i would tell you!!!

Answer 13

i remember a bit but forgot
\[\frac{ \Gamma(s) }{ n|p|^s }\sin (\alpha s)= ?\]

Answer 14

i forgot what the right hand side is equal to can anyone tell me?

Answer 15

wow!! that looks awesome!!

Answer 16

@Kainui

Answer 17

@IrishBoy123 haha :P i still remember when maths used to be just numbers the good old days :')

Answer 18

and how do we find the value of s p and n on the left hand side ? any1?

Answer 19

lol!!!

i am going to grab my Abacus and then we can talk business!!!!

Answer 20

hahah xD

Answer 21

never mind found it out :P thanks though for all your help :)
here is the video that explains this funny integral if you like to see :D
https://www.youtube.com/watch?v=H0kT-EKbUzM