高等数学一道关于不定积分题,设F(x)为f(x)的原函数,且当时x>=0时,f(x)F(x)=xe^x/2(1+x)^2[x乘以e的x次方,比上2倍的1+x的2次方],已知F(0)=1,F(x)>0,试求f(x)我刚学了不定积分的概念和换元法~
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![高等数学一道关于不定积分题,设F(x)为f(x)的原函数,且当时x>=0时,f(x)F(x)=xe^x/2(1+x)^2[x乘以e的x次方,比上2倍的1+x的2次方],已知F(0)=1,F(x)>0,试求f(x)我刚学了不定积分的概念和换元法~](/uploads/image/z/679424-32-4.jpg?t=%E9%AB%98%E7%AD%89%E6%95%B0%E5%AD%A6%E4%B8%80%E9%81%93%E5%85%B3%E4%BA%8E%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86%E9%A2%98%2C%E8%AE%BEF%28x%29%E4%B8%BAf%28x%29%E7%9A%84%E5%8E%9F%E5%87%BD%E6%95%B0%2C%E4%B8%94%E5%BD%93%E6%97%B6x%3E%3D0%E6%97%B6%2Cf%28x%29F%28x%29%3Dxe%5Ex%2F2%281%2Bx%29%5E2%5Bx%E4%B9%98%E4%BB%A5e%E7%9A%84x%E6%AC%A1%E6%96%B9%2C%E6%AF%94%E4%B8%8A2%E5%80%8D%E7%9A%841%2Bx%E7%9A%842%E6%AC%A1%E6%96%B9%5D%2C%E5%B7%B2%E7%9F%A5F%280%29%3D1%2CF%28x%29%3E0%2C%E8%AF%95%E6%B1%82f%28x%29%E6%88%91%E5%88%9A%E5%AD%A6%E4%BA%86%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86%E7%9A%84%E6%A6%82%E5%BF%B5%E5%92%8C%E6%8D%A2%E5%85%83%E6%B3%95%7E)
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