I tried it this way now:
u^2 = (1-x^2/a^2)
so du = -2x/a^2 dx and therefore x dx = -a^2/2 du
So the integral becomes: \int -a^2/2 exp^(-cu) du
And then i find the solution: a^2/(2c) exp^(-cu)
Which is a^2/(2c) exp^[-c sqrt(1-x^2/a^2)]
I think this should be correct but the...
Homework Statement
I'm working out different pathlengths for different solids but I'm stuck on the following integral:
Homework Equations
\int x*exp(-C*sqrt[1-x2/A2]) dx
exp = exponential func
sqrt = square root
C and A are constants
The Attempt at a Solution
I tried to work...