Calculus Help!!

Question

Determine the area of the region bounded by x=3+y^2, x=2-y^2, y=1, y= -2

Answer 1

See the video.

Answer 2

two ways to do it

but run a check on them by graphing the situation and notice that basic geometry shows the area is slightly less than the area of a trapezoid = 4. slightly less may be 3

get more than 4 and you did something wrong

integrate (2-1)dx

=x

evaluate from 1 to 4

= 4 -1 = 3

or integrate terms with respect to y

but get more than 4, you made mistake(s) somewhere