∫xdx/(x^2-2x-3)；求解

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∫xdx/(x^2-2x-3)；求解
∫xdx/(x^2-2x-3)；求解

∫xdx/(x^2-2x-3)；求解
∫xdx/(x^2-2x-3)=1/4*(∫3dx/(x-3)+∫dx/(x+1))=1/4(3ln(x-3)+ln(x+1))+C=1/4(ln(x-3)^3+ln(x+1))+C=1/4ln((x-3)^3(x+1))+C

原式=∫2x^2-2xdx=2/3x^3-x^2

解: 原式=∫(1/4(x+1)+3/4(x-3))dx=1/4ln(x+1)+3/4ln(x-3)

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