Find the area of a plane figure bounded by lines 1.y=x^2+2x+4, y=x+6 2.y=x^2+6x+5, y= - x^2-6x-11

4.5

Step-by-step explanation:

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

   the bottom of the integral is -2

=

=  

=

=

=

=

= -3 + 1.5 + 6

= 4.5

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope