# Math Help - length of the curve

1. ## length of the curve

Find the length of the curve $r = \theta^2$ from $\theta = 0$ to $\theta=11$

2. The polar arc length formula is:

$\int_{\alpha}^{\beta}\sqrt{r^{2}+(\frac{dr}{d\thet a})^{2}}d{\theta}$

= $\int_{0}^{11}\sqrt{{\theta}^{4}+4{\theta}^{2}}$

= $\int_{0}^{11}[{\theta}\sqrt{{\theta}^{2}+4}]d{\theta}$

Can you finish?.

3. yeah thanks

4. Originally Posted by viet
Find the length of the curve $r = \theta^2$ from $\theta = 0$ to $\theta=11$
the curve looks like this