1. ## Evaluate the integral.

Q: Evaluate the integral by interpreting it in terms of areas. (draw a picture of the region the integral represents, and find the area using high school geometry)

$\int_0^{3}|4x-3|dx$

when x = 0, y = 3
when y = 0, x = 3/4

the base of the triangle is 3/4, height is 9
(1/2) base*height
=
(1/2)(3/4)(9)
= 10.125

2. Originally Posted by viet
Q: Evaluate the integral by interpreting it in terms of areas. (draw a picture of the region the integral represents, and find the area using high school geometry)

$\int_0^{3}|4x-3|dx$

when x = 0, y = 3
when y = 0, x = 3/4

the base of the triangle is 3/4, height is 9
(1/2) base*height
=
(1/2)(3/4)(9)
= 10.125