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

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=  

=

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= -3 + 1.5 + 6

= 4.5

answer: the answer is 127 degrees

unless if u could do my questions, if not i wouldn't want to