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Integrate: e^square root x

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Solution:  We have ,   

                 I=int e^ sqrtxdx  ,   Put   sqrtx=tRightarrow x=t^2Rightarrow dx=2thspace0.1cmdt

             I=2int tcdot e^tdt=2[tint e^tdt-int e^tdt]

        Rightarrow   I=2e^t(t-1)+c=2e^sqrtx(sqrtx-1)+c

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Deependra Verma

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