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Evaluate the following integrals: int0^(...

Evaluate the following integrals: `int_0^(pi/4) sin2xdx`

Text Solution

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`int_0^(pi/4) sin 2x dx = ((-cos 2x)/2)_0^(pi/4)`
= `-1/2(cos2x)_0^(pi/4)`
=`-1/2 (cos pi/2 - cos 0)`
=-1/2(0-1) = 1/2
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