# Evaluate the integral.

• Nov 21st 2006, 09:23 PM
viet
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
answer seems to be wrong.
• Nov 21st 2006, 09:37 PM
CaptainBlack
Quote:

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
answer seems to be wrong.

Sketch the function. In the attachment the area you seek is shaded.

RonL
• Nov 21st 2006, 09:43 PM
viet
got it thanks CaptainBlack