Finding the interval in which g is increasing
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Hint: $g'(x)= f(x)$ now see where $g'(x)\geq 0 $
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JustinMerritt326
Updated on July 22, 2022Comments

JustinMerritt326 over 1 year
Suppose $f$ is a continuous function with a domain $[−3, 9]$ such that
$f(x)= \begin{cases} 3, & \text{if 3 $\leq$ x <0}\\ x+3, & \text{if 0$\leq$ x $\leq$ 6}\\ 3, & \text{if 6< x $\le$ 9} \end{cases}$
If $g(x)=\int_{2}^x{f(t)}dt$, on what interval is $g$ increasing?