Hello there!

can i get some with this calculus practice problem? i don't think my answer is right : )
show your work and details. a lot!

 144

Step-by-step explanation:

First, find the x-values where the equations intersect:

2x² = -2x² - 8x + 32

4x² + 8x - 32 = 0

4(x² + 2x - 8) = 0

 (x + 4)(x - 2) = 0

  x = -4  and  x = 2    (see graph to confirm these values)

Now, find the area under the curve:

 4.5

Step-by-step explanation:

First, find the x-values where the equations intersect:

x+3 = x² + 1

0 = x² - x - 2

0 = (x - 2)(x + 1)

x = 2   and    x = -1  (see graph to confirm these values)

Now find the area under the curve:

5.1

Step-by-step explanation:

hope it helps thank you