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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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int_(0)^(1)tan^(-1)xdx=alpha, then int_(0)^((pi)/(4))tan^(-1)((2cos^(2)theta)/(2-sin2 theta))sec^(2)theta d theta is equal to: alpha(b)(alpha)/(2)(c)3 alpha(d)2 alpha

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If alpha in(-(3 pi)/(2),-pi), then the value of tan^(-1)(cot alpha)-cot^(-1)(tan alpha)+sin^(-1)(sin alpha)+cos^(-1)(cot alpha) is equal to (a)2 pi+alpha(b)pi+alpha(c)0(d)pi-alpha

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RESONANCE DPP-JEE MAINS-All Questions
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  18. If f(x)=A s in((pix)/2)+B ,f^(prime)sqrt(2)a n dint0^1f(x)dx=(2A)/pi, ...

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  19. If variance of variables a ,2a ,2a ,3a ,3a ,3a ,dot,10 a is 54 then va...

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