juantheron
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definite integral (1 Viewer)
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seanieg89
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Let f(x) be your integrand and let I be the sought definite integral.
It is easy to show f(x)+f(pi/2-x)=1.
Integrate this expression between the given limits and make the substitution u=pi/2-x to arrive at I=pi.
(Note that the integral of a T-periodic function over any interval of length T is the same.)
It is easy to show f(x)+f(pi/2-x)=1.
Integrate this expression between the given limits and make the substitution u=pi/2-x to arrive at I=pi.
(Note that the integral of a T-periodic function over any interval of length T is the same.)
juantheron
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thanks seanieg89