Respuesta :

Paounn

Answer:

38

Step-by-step explanation:

You're simply subtracting areas.

[tex]\int \limits_4^{12}x dy[/tex]

represent the blue area in the edited photo. Which you can get from an area of the rectangle with opposite corners in the origin and in Q(6;12) (with red sides, which has area 6x12=72) minus the area of the green rectangle of opposite corners origin and P(1;4) (of area 1x4=4), minus the area limited by y=0, y=f(x), x=1 and x=6, which is, as you know, the integral you've been given at the start, 30.

Area is thus 72 - 4 - 30 = 38

(yes, I did it with paint, the image should be understandable hopefully)

Ver imagen Paounn