求∫xdx/(x+2)(x^2+4x-12)^1/2的积分

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求∫xdx/(x+2)(x^2+4x-12)^1/2的积分求∫xdx/(x+2)(x^2+4x-12)^1/2的积分求∫xdx/(x+2)(x^2+4x-12)^1/2的积分令t=x+2原式=∫(t-

求∫xdx/(x+2)(x^2+4x-12)^1/2的积分
求∫xdx/(x+2)(x^2+4x-12)^1/2的积分

求∫xdx/(x+2)(x^2+4x-12)^1/2的积分
令t=x+2
原式=∫(t-2)dt/[t(t^2-16)]=∫(t-2)dt/[t(t-4)(t+4)]
典型的有理函数积分,会了吧?

t=x+2
原式=∫(t-2)dt/[t(t^2-16)]=∫(t-2)dt/[t(t-4)(t+4)]