Wednesday
May 22, 2013

# Homework Help: Calculus

Posted by Z32 on Sunday, November 15, 2009 at 5:18pm.

Evaluate the integral by interpreting it in terms of areas as 0 goes to 12 |2x - 7|dx?
This is my work so far:

2x-7=0
x=7/2

slope = 2; y-int = (0, -7)

Area of a triangle is 1/2BH.

• Calculus - bobpursley, Sunday, November 15, 2009 at 5:21pm

I can't make sense of what you did. If you want areas, you have to do it in two integrals (triangles)
x goes from 0 to 3.5
INT (7-2x) dx
Area=1/2 b H=1/2 3.5 *7
and x goes from 3.5 to 12
int (2x-7)dx
area=1/2 b H= 1/2 (12-3.5)(24-7)

• Calculus - Z32, Sunday, November 15, 2009 at 6:15pm

I added the two areas up and got 84.5 which is the correct. Thanks!

• Calculus - Z32, Sunday, November 15, 2009 at 6:16pm

One quick question, for the "area=1/2 b H= 1/2 (12-3.5)(24-7)", how did you get the 24?

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