1.

int_1^3 e^x(x+1)dx

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SOLUTION :`int_1^3 e^X(x+1)dx`
[Integrating by parts CHOOSING (x+1) as first and `e^x`as second FUNCTION]
`[[(x+1)e^x]-inte^xdx]_1^3`
`=[x*e^x+e^x-e^x]_1^3`
`=[x*e^x]_1^3`
`=3e^3-e`


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