1. ## g(x)

For this problem, is g(x)=(integral of x from x to 3)+(integral of 6-x from 3 to 6)? If so, how do you put them together?

2. Originally Posted by falloutdude
For this problem, is g(x)=(integral of x from x to 3)+(integral of 6-x from 3 to 6)? If so, how do you put them together?
When $\displaystyle 3<x<6$:

$\displaystyle g(x) = \int_0^x f(t) dt = \int_0^3 f(t) dt + \int_3^x f(t) dt$

............ $\displaystyle = \int_0^3 t dt + \int_3^x (6-t) dt$

RonL