help please

find the area of the region . Decide whether to integrate with respect to x or y . Draw a typical approx rectangle and label the height and width.

Question

help please 

find the area of the region .  Decide whether to integrate with respect to x or y . Draw a typical approx rectangle and label the height and width.

marcelie · Answer

$$y= x^2-4x$$
$$y=2x$$

marcelie · Answer

okay so i set them equal to each other in order to solve for x  so how do i know if i would integrate from x or y ?


$$x^2-4x-2x=0$$

$$x^2-6x=0$$

$$x=0 and x=6$$

sshayer · Answer

$$y=x^2-4x+4-4$$
$$y+4=\left( x-2 \right)^2$$
it is an upward parabola with vertex (2,-4)
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