y=S(x^3/(x^2+1)) (微积分题)

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y=S(x^3/(x^2+1)) (微积分题)
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y=S(x^3/(x^2+1)) (微积分题)
y=S(x^3/(x^2+1)) (微积分题)

y=S(x^3/(x^2+1)) (微积分题)
=S(x^3/(x^2+1)) =S(x-x/(x^2+1))=0.5x^2-0.5Ln(x^2+1)

y=∫(x^3/(x^2+1))dx
=∫(x-x/(x^2+1))dx
=(1/2)*(x^2-∫(1/(x^2+1))dx^2)
=(1/2)*(x^2-ln(x^2+1))+C