Question

How do you find the length of the curve `y=3x-2, 0<=x<=4`?

Answer 1

`L=int_0^4sqrt[1+9]*dx=[sqrt10x]_0^4=4sqrt10`

Explanation:

show below

`y=3x-2`

`y'=3`

`L=int_a^bsqrt[1+(y')^2]*dx=int_0^4sqrt[1+9]*dx`

`=[sqrt10x]_0^4=4sqrt10`