1. ## length of curve

To find the length of the curve defined by y=2x^3+17x
from the point (0,0) to the point (3,105) you have to compute ∫f(x)dx from a to b where a=?,b=?, and f(x)=?

2. Originally Posted by waite3
To find the length of the curve defined by y=2x^3+17x
from the point (0,0) to the point (3,105) you have to compute ∫f(x)dx from a to b where a=?,b=?, and f(x)=?
Arc length: $\int_a^b \sqrt{1+[f\prime(x)]^2}~dx$

For yours that means
$\int_0^3 \sqrt{1+(6x^2+17)^2}~dx$