`int_0^1 (xe^x+(sin)(pix)/4) dx`

Explanation

`int_0^1 (xe^x) +sin((pix)/4)dx`

Here, we will do integration by parts,

`int (xe^x) = xe^x-int e^xdx`

`int (xe^x) = xe^x-e^x+c`

Now, ` int sin((pix)/4)dx = -4/picos((pix)/4)+C`


`int_0^1 (xe^x) +sin((pix)/4)dx =[xe^x-e^x]_0^1+[-4/picos((pix)/4)]_0^1 `

` = e-e-(0-e^0)-4/pi(cospi/4-cos0)`

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