# Arc Length Integral Question

## Homework Statement

Find the arc length of the equation $$y^2=4(x+4)^3$$ from $$x=0$$ to $$x=2$$

## Homework Equations

$$L=\int_{a}^{b}\sqrt{1+f'(x)}dx$$

## The Attempt at a Solution

$$L=\int_{0}^{2}\sqrt{1+9(x+4)}dx$$
which simplifies in to
$$L=\int_{0}^{2}\sqrt{9x+37}dx$$
and i'm stuck there--how should i try to integrate that?

Dick
so $$dx=\frac{du}{9}$$.