Hi, can someone help me find the following integration
exp(x)sin^2(n*pi*x/L)
the limits of integraion is [0,L]
Thanks for you help.
Firstly using double angle trig formulas you have
This can now be split into 2 integrals
The first integral gives the second integral needs the use of integration by parts twice as follows
Putting this all together we get a final solution
Hope that's helpful.
PS. I have assumed that n is an integer and thus that