∫(t∧2)e∧(t∧2)dt
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先整理带x拿积外 ∫(1+t^2) e^(t^2-x^2)d(x)=e^(-x^2)∫(1+t^2) e^(t^2)d(x) 用洛必达则 原式=lim(x趋近零)e^(-x^2)∫(1+t^2) e^(t^2)d(x)/x^2 =lim(x趋近零)e^(-x^2)*lim∫(1+t^2) e^(t^2)d(x)/x^2 =1*lim(1+x^4) e^(x^4)/2x =穷
