Answer
$\dfrac{x^3}{3}-5x^2+2x+C$
Work Step by Step
We are given that $I=\int (x^2 -10x+2) \ dx$
In order to solve the above integral, we will use the following formula such as:
$\int x^n \ dx=\dfrac{x^{n+1}}{n+1}+C$
Now, we have $\int (x^2 -10x+2) \ dx=\dfrac{x^3}{3}-10 (\dfrac{x^2}{2})+2x+C$
or, $=\dfrac{x^3}{3}-10 (\dfrac{x^2}{2})+2x+C$
or, $=\dfrac{x^3}{3}-5x^2+2x+C$
