Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

`33(1)/(3)`

Explanation:

This is a straightforward evaluation of a definite integral.

`\displaystyle\int_1^5{x^2-x+1}\,dx=\left.(x^3)/(3)-(x^2)/(2)+x\right|_1^5=(5^3-1^3)/(3)-(5^2-1^2)/(2)+(5-1)\\\\=41(1)/(3)-12+4=\boxed{33(1)/(3)}`