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Can somebody explain to me why

[tex]\int^{1}_{0}sin( \pi x) sin (n \pi x) dx[/tex] equals 1 if n = 1 and 0 for n >= 2? (n is an integer)

[tex]\int^{1}_{0}sin( \pi x) sin (n \pi x) dx[/tex] equals 1 if n = 1 and 0 for n >= 2? (n is an integer)

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