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If int0^1tan^(-1)xdx=alpha,t h e nint0^...

If `int_0^1tan^(-1)xdx=alpha,t h e nint_0^(pi/4)tan^(-1)((2cos^2theta)/(2-sin2theta))sec^2thetadtheta` is equal to: `alpha` (b) `alpha/2` (c) `3alpha` (d) `2alpha`

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Evaluate: int_0^(pi/4)(tan^(-1)((2cos^2theta)/(2-sin2theta)))sec^2thetad theta

Evaluate: int_0^(pi/4)(tan^(-1)((2cos^2theta)/(2-sin2theta)))sec^2thetad theta .

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  3. If int0^1tan^(-1)xdx=alpha,t h e nint0^(pi/4)tan^(-1)((2cos^2theta)/(...

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