What is the arclength of $f(x)=2-3x$ in the interval $[-2,1]$ ?

Apr 10, 2016

$3sqrt10$

$f(x)=2-3x$
$f"'"(x)=-3$

$L=int_a^b sqrt(1+[f"'"(x)]^2)*dx$
$L=int_-2^1 sqrt(1+9)*dx$
$L=sqrt10*x|_-2^1=sqrt10(1-(-2))=sqrt10(1+2)=3sqrt10$

1765 views around the world

You can reuse this answer
Creative Commons License

What is the arclength of f(x)=2-3x f(x)=2-3x in the interval [-2,1][-2,1]?