Evaluate (be careful if n=m)
∫ 0 --> L sin(n pi x/L) sin(m pi x/L) dx
for n>0 and m>0. Use the trigonometric identity 2 sin a sin b = cos(a-b) - cos(a+b)
Please see the attached file for the fully formatted problems.
An integral is evaluated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.