Question

Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ∫ 9 0 | 6 x − 6 | d x

Answer 1

Answer:

-189

Step-by-step explanation:

$\int^9_0 \ |6x-6| \ dx$

⇒ 6x - 6 = 0

6x = 6

x = 1

$\int^9_0 \ (6x- 6 ) \ dx = \int^9_0 \ -(6x - 6) \ dx$

$= - \Big[ \dfrac{6x^2}{2}- 6x \Big]^9_0$

$= - \Big[ \dfrac{6(9)^2}{2}- 6(9) - 0 \Big]$

$= -(243 - 54 - 0 )$

= -189