Evaluate: int0^(pi/2) (sin2x tan^(-1)(s...

Evaluate: `int_0^(pi/2) (sin2x tan^(-1)(sinx))dx`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions

If A is a non- singular square matrix of the order 3xx3 such that A^2=...
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If P(1,0,-3) is the foot of the perpendicular from the origin to the p...
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If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...
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Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx
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Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...
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If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)
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A cottage industry manufactures pedestal lamps and wooden shades.Both ...
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Amongst all open (from the top) right circular cylindrical boxes of vo...
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If tan^(-1) (y/x) = log sqrt(x^(2) + y^(2)), prove that dy/dx = (x+y)/...
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If y=e^{a\cos ^{-1}x},-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/...
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Find f'(x) if f(x) = tan x^(tan x)
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Amongst all open (from the top) right circular cylindrical boxes of vo...
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the domain of the function f(x) = sin^(-1) (2x) is (a) [0,1] (b) ...
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Using the method of integration find the area of the triangle ABC, ...
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Find the angle between unit vector veca and vecb so that sqrt(3) veca ...
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If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...
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Form the differential equation representing the family of curves y = ...
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If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)
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Find f'(x) if f(x) = (tanx)^(tanx)
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the interval in which the function f given by f(x) = x^2 e^(-x) is str...
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