Question

calc @michele_laino @pooja195 @directrix

Answer 1

@mathmale

Answer 2

@mathmale @jigglypuff314

Answer 3

@mathmale @Directrix @IrishBoy123

Answer 4

First step is to either draw a picture of it to help you visualize what you are looking for
or if you just want numbers, find the points where the two given equations intersect.

Answer 5

ok

Answer 6

after I do that, what next?

Answer 7

what points did you get? :)

Answer 8

(1,2) and (-0.75, -1.5)

Answer 9

great! so
\[area = \int\limits_{-1.5}^{2}(Upper~equation - Lower~equation)~dy\]

Answer 10

for the upper and lower equations (since we are trying to integrate with respect to y)
we should plug in the equations as
x = y^2 - 3
and
x = 0.5 y

Answer 11

so do I just use \(\large\sqrt{x+3}\) rather than \(\large\pm\sqrt{x+3}\)

Answer 12

Oh! I see

Answer 13

yeah, so we are plugging in y^2 - 3 and 0.5 y :)

Answer 14

what do i use as the limits

Answer 15

the x values or the y

Answer 16

use the y values we found of the intersection points
so -1.5 and 2 :)

Answer 17

ok thank you

Answer 18

I got 89/48