Evaluate the integral _ 0 ^ 4 f(x) ,dx where f(x)= cases 3x, & 0 x 2, 8-2x, & 2< x 4

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate the integral

\int_{0}^{4} f(x)\,dx \quad\text{where}\quad f(x)=\begin{cases}3x, & 0\le x\le 2,\\ 8-2x, & 2< x\le 4.\end{cases}