Evalute integral In0/2 sin xdx
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Using the definition of the integral and the fact that sinx is an odd function, from 0 to 2π ,with equal area under the curve at
[0,π] and above the curve at [π,2π] , the integral is 0.
This holds true for any time sin x
is evaluated with an integral across a domain where it is symmetrically above and below the x-axis.
∫ 2π0sinxdx=[−cosx] ∣∣∣2π0=−cos2π
−(−cos0)=−1−(−1)=0
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