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If \displaystyle ∫ e^x\!\left(\fracx\sin^-1x√1-x^2+\frac\sin^-1x(1-x^2)^3/2+x/1-x^2\right)\!dx=g(x)+C, where C is the constant of integration, then g\!\left(\dfrac12\right) equals: | Watch the step-by-step video solution for this NIMCET PYQ.