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The function y = f(x) is the solution of the differential equation (dy/dx) + (xy/(x^2 – 1)) = ((x^4 + 2x)/√(1 – x^2)) in (–1, 1)

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The function y = f(x) is the solution of the differential equation (dy/dx) + (xy/(x2 – 1)) = ((x4 + 2x)/√(1 – x2)) in (–1, 1) satisfying f(0) = 0, then ∫f(x) for x ∈ [-√3/2,√3/2] = dx is

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Answer is 

Explanation:

The given differential equation is 

which is passing through (0, 0), so c = 0

Hence, the equation of the curve is

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