Plot the graph of f (x) = sin mx sin nx on [0, ] for the pairs (m, n) = (2, 4), (3, 5)
Chapter 5, Problem 103(choose chapter or problem)
Plot the graph of f (x) = sin mx sin nx on [0, ] for the pairs (m, n) = (2, 4), (3, 5) and in each case guess the value of I = 0 f (x) dx. Experiment with a few more values (including two cases with m = n) and formulate a conjecture for when I is zero.
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