結果 : integration of sin 2 theta d theta limit 0 to pi 2
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Evaluate the integral sin^2(2 theta) d(theta) from theta=0 to pi/2

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`int_(0)^(2pi) (sin 2 theta)/(a-b cos 2 theta )d theta = `

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L78use contour integration method to evaluate the integral( a dtheta)/a^2+(sin^2)theta limit0,pi

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`int_0^(pi/2)(sin2theta)/(sin^4theta+cos^4theta) d theta`

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If x = (2cosθ - cos2θ), y = (2sinθ - sin2θ) then Find d²y/dx² , θ = π/2

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The value of `int_0^(pi/2)log(sin^2theta+k^2cos^2theta)d theta`, where `k gt=0`, is:

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