Plotting a function containing a single integral with two variables

URGENT HELP, PLEASE! Could you please help me to plot the function in the figure attached ? It contains two variables in the integral but one of them (y) is held constant but still I want to plot the final function f(a,y) with respect to a (the upper limit of the integral) and y!

Answer 1

[Torsten]

Use the integral expression obtained here

https://www.wolframalpha.com/input?i=Exp%5B-a*x%2Bb*Sqrt%5Bc-x%5D%5D

for the x-integral, insert the limits and solve the resulting equation in y using "fzero" or "fsolve".

[Abdallah Qaswal]

My code gives me empty plot and warning!

[Abdallah Qaswal]

Answer 2

[Abdallah Qaswal]

Hi, Thank you for response! Please, see my code and guess where is the problem!

[Torsten]

You won't have any chance to solve this problem with an exponent of -165 for exp.

[Abdallah Qaswal]

Actually, I have solved the problem with this exponent but the case was that y is defined by certain value e.g.: 0.07. However, in this case it is variable! My problem is within the integral itself since there are two variables!

[Torsten]

I gave you the antiderivative of f with respect to x in the link. You only have to give the appropriate values to a, b and c.

But with this exponent, you won't have a chance to reasonably evaluate fun1 although you will be able to write down q as a function of a and y explicitly .