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Determine the value of ∫ 2x(1 + sin x)/(1 + cos^2 x) (for x → -pi, pi)

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Determine the value of ∫ 2x(1 + sin x)/(1 + cos2 x) (for x → -pi, pi)

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f(-x) = -f(x) which shows that f(x) is an odd function.

g(-x) = g(x) which shows that g(x) is an even function.

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