计算不定积分∫e^x^1/2/x^1/2dx

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计算不定积分∫e^x^1/2/x^1/2dx
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计算不定积分∫e^x^1/2/x^1/2dx
计算不定积分∫e^x^1/2/x^1/2dx

计算不定积分∫e^x^1/2/x^1/2dx
∫e^x^1/2/x^1/2dx
=2∫e^x^1/2*(1/2x^-1/2)dx
=2∫e^x^1/2dx^1/2
=2e^x^1/2+C

因为,d(x^1/2)=(1/2x^1/2)dx
所以,∫e^x^1/2/x^1/2dx =2∫e^x^1/2*(1/2x^1/2)dx =2∫e^x^1/2d(x^1/2)=2e^x^1/2+C