Question

CALC 2
Find the length of the following curve on the given intervals.
y=3x-1 from (1,2) to (3,8)

Answer 1

f(x) = 3x - 1
f'(x) = 3
Arc Length is \[\int\limits_{1}^{3}\sqrt(1 + (3)^2) dx\]
\[\sqrt(10)\int\limits_{1}^{3}dx\]
\[\sqrt(10)(x) \] evaluated on 1 to 3
\[\sqrt(10)(3-1) = \sqrt(10)(2)\]
Final answer:\[2\sqrt(10)\]