Hello, everybody, in order to fit a distribution that I recently recorded in the course of a series of measurements, I need the convolution of these two equations (as fit function). Unfortunately I don't manage to calculate this convolution with Wolframalpha and the error "Standard computation time exceeded..." appears every time.

The two functions are:
1) e^(-(x)^2), 2)
2) sqrt(1+(1/(1-x^2)))

The convolution integral then results in :
int [(sqrt(1+(1/(1-x^2)))) (e^(-(u-x)^2)) dx]

My input at Wolframalpha is the following:
int [(sqrt(1+(1/(1-x^2)))) (e^(-(u-x)^2)) dx from -0.5..0.5]
Because function 2 is periodic I have set limits for the Wolframalpha Code:
I know that there is also a command for convolution , but it should do the same.

Maybe one of you can help me out and explain my mistake. That would be a great help.
Thank,
M