∫((3x^4+2x^2)/(x^2+1))dx

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∫((3x^4+2x^2)/(x^2+1))dx∫((3x^4+2x^2)/(x^2+1))dx∫((3x^4+2x^2)/(x^2+1))dx答:(3x^4+2x^2)/(x^2+1)=[3(x^2

∫((3x^4+2x^2)/(x^2+1))dx
∫((3x^4+2x^2)/(x^2+1))dx

∫((3x^4+2x^2)/(x^2+1))dx
答:
(3x^4+2x^2)/(x^2+1)
=[3(x^2+1)x^2-(x^2+1)+1]/(x^2+1)
=3x^2-1+1/(x^2+1)
∫((3x^4+2x^2)/(x^2+1))dx
=∫(3x^2-1)dx+∫[1/(x^2+1)]dx
=x^3-x+arctanx+C

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