Question

What is the arc length of `f(x)=x^2-3x+sqrtx` on `x in [1,4]`?

Answer 1

About 8.111.

Explanation:

`int_a^b sqrt(1+(f'(x))^2) dx = int_1^4 sqrt(1+(2x-3+1/(2sqrtx))^2)`

`~~ 8.111`