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Question
Evaluate `int_(-π/2)^(π/2) sinx/(1 + cos^2x)dx`
Sum
Solution
Here f(x) = `sinx/(1 + cos^2x)` is an odd function
∴ `int_(-π/2)^(π/2) sinx/(1 + cos^2x)dx` = 0 ...(Theorem)
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Methods of Evaluation and Properties of Definite Integral
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