Question

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.
bobpursley
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)
I added the two areas up and got 84.5 which is the correct. Thanks!
One quick question, for the "area=1/2 b H= 1/2 (12-3.5)(24-7)", how did you get the 24?

Related Questions

Evaluate the integral by interpreting it in terms of areas. int_(0)^(9) (7/2x - 21)dx can someo... Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the re... Evaluate the integral ((6x+7)/(x^(2)-8x+25))dx. Please and thank you. Evaluate the integral by interpreting it in terms of areas. The integral from -3 to 0 of 5+(9-x^2... Evaluate the integral by interpreting it in terms of areas. bounds from -1 to 0. 3+sqrt(1−x2) dx... Evaluate the integral by interpreting it in terms of areas. 0 (3 +sqrt(1 − x2)) dx −1 evaluate the following integral using trigonometric substitution. integral (dx)/(square root 289... Evaluate the integral ∫ 2 x - 5 x 2 - 5 x + 6 d x Question 5Select one: I n (... Evaluate the integral ∫ s i n 2 x d x Question 10Select one: - cos ⁡ x + 2 3...