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)
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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.