[Video Solution] Let g:(0,\infty ) \to R be a differentiable function such that ∫ \left( x(\co... | ASPIRE STUDY

Let g:(0,\infty ) \to R be a differentiable function such that ∫ \left( x(\cos x - \sin x) \over e^x + 1 + g(x)\left( e^x + 1 - xe^x \right) \over (e^x + 1)^2 \right)dx = x\,g(x) \over e^x + 1 + c , for all x > 0, where c is an arbitrary constant. Then : | Watch the step-by-step video solution for this NIMCET PYQ.