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Let the solution curve y=f(x) of the differential equation \dfracdydx+\dfracxyx^2-1=\dfracx^4+2x√1-x^2, x\in(-1,1), pass through the origin. Then \displaystyle ∫_-√3/2^√3/2 f(x)\,dx is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.