Originally Posted by

**Stonehambey** Not sure if I'm having another brain freeze here or something, but I'm having trouble solving the following types of problems. Find the arc length of the following curves between the points specified

1) $\displaystyle y = x^{\frac{1}{2}} - \frac{1}{3}x^{\frac{3}{2}}$, between $\displaystyle x = 1$ and $\displaystyle x = 4$

2) $\displaystyle y = \frac{1}{3}x^3 + \frac{1}{4}x^{-1}$, between $\displaystyle x=1$ and $\displaystyle x=2$

Both times I apply the formula for arc length I end up having to find the root of a rather unpleasant expression. If someone could tell me the best way to go about these problems I'd be very grateful :)

Stonehambey