求∫x^3*e^-x^2dx
分部积分：∫x^3*e^-x^2dx=(-1/2)*x^2*e^(-x^2)-∫(-1/2)*2x*e^(-x^2)dx=(-1/2)*x^2*e^(-x^2)+∫x*e^(-x^2)dx=(-1/2)*x^2*e^(-x^2)+(1/2)*∫e^(-x^2)dx^2=(-1/2)*x^2*e^(-x^2)+(1/2)(-1)*e^(-x^2)=(-1/2)*x^2*e^(-x...
举一反三
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