Q:

Evaluate the following integral ∫_0^1x e^x dx

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Evaluate the following integral ∫_0^1x e^x dx        

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∫_0^1x e^x dx              integrate by parts
u=x                dv=e^x dx
du=dx           v=e^x   
I=├ xe^x ┤|_0^1-∫_0^1e^x  dx=e-[e^x ]_0^1=e-e+1=1

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