I am unable to plot 3D graph of integral function

I am not able to solve this integral

Integrate[
1/(0.0007155* (67 + 58* Sin[1.5708 - 7.45356* \[Zeta]])^(3/2))*
Exp[(125*y^2)/(67 + 58* Sin[1.5708 - 7.45356 *\[Zeta]])], \[Zeta]]


I also tried directly to plot this but didn't get any plot

Plot3D[1397.54*
0.004074464993818227 \[Integral]E^(-((125. y^2)/(
67. + 58. Sin[
1.5707963267948968 - 7.4535599249993 \[Zeta]])))/(67. +
58. Sin[1.5707963267948968 - 7.4535599249993 \[Zeta]])^(
3/2) \[DifferentialD]\[Zeta], {\[Zeta], 0, 3}, {y, 0, 1.5}]

• Welcome to the Mathematica Stack Exchange. The code you have included so far does not evaluate. You can copy code directly from the input cell and paste in the edit windows. There is the { } icon there to format code.
– Syed
May 10 at 7:48
• thanks i have edit the question May 10 at 8:12
• Are you sure that a closed form for this integral exists? May 10 at 8:18
• You can replace all these numbers by symbols and see more clearly that Mathematica can't integrate this. Screen shot !Mathematica graphics so before worrying about the Plot part, you need to worry about how to do the integration. May 10 at 8:41
• May be you could look at numerical integration if you have values for the range and y. May 10 at 8:48