Use geometry (not Riemann sums) to evaluate the following definite integral.\
Sketch a graph of the integrand, show the region in question, and interpret\
your results.\
6\
$\int_0^6 f(x)dx$, where $f(x) = \begin{cases} 4 & \text{if } x \le 5\\ 2x - 6 & \text{if } x > 5 \end{cases}$\
Sketch a graph of the integrand, and then shade the region in question.\
Choose the correct graph below.\
A.\
B.\
C.\
6\
$\int_0^6 f(x)dx = $ (Simplify your answer.)