An Integral Problem by Lin Le 2

The area under any function between two points is found by taking the integral of the function within those bounds. And, since the bounds are between two $x$ values, the integral will be taken with respect to $x$ , meaning the integral will have $(dx)$ . So, if the function is $f(x)$ , the integral will look like:

$\int _5^{17} f(x) \space dx$

And since a basic parabola is of the form $x^2$ , we can replace $f(x)$ with $x^2$ so we have:

$\large \int _5^{17} x^2 \space dx$