∫(3x^4+x^2)/(x^2+1)dx

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∫(3x^4+x^2)/(x^2+1)dx

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

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

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