[Video Solution] Let y=f(x) be a thrice differentiable function in (-5,5). Let the tangents to... | ASPIRE STUDY

Let y=f(x) be a thrice differentiable function in (-5,5). Let the tangents to the curve y=f(x) at (1,f(1)) and (3,f(3)) make angles \dfracπ6 and \dfracπ4 respectively with the positive x-axis. If 27\displaystyle∫_1^3\big((f'(t))^2+1\big)f'''(t),dt=α+β√3, where α,β are integers, then the value of... | Watch the step-by-step video solution for this NIMCET PYQ.