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Let f be a differentiable function in \left( 0,π \over 2 \right). If ∫\limits_\cos x^1 t^2\,f(t)dt = \sin ^3x + \cos x , then 1 \over √ 3 f'\left( 1 \over √ 3 \right) is equal to | Watch the step-by-step video solution for this NIMCET PYQ.