Question

Use geometry to evaluate the integral from 0 to 6 of the function f of x, dx for the system of equations:
f(x)= 3 for x LESS than or EQUAL to 3 and
equals 6-x for x > 3.

A. 27
B.13.5
C.12
D.10.5

I could really use some help.
Thank you!
a constant 3 so rectangle from 0 to 3
3 times 3 = 9
then slopes down 3 at constant slope from x = 3 to x = 6
so right trinagle of height 3 and base 3
(1/2)(3*3) = 4.5
add

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