Question

Find the area of the region bounded by the curves y2 = x, y – 4 = x, y = –2, and y = 1.

So far I have found that the area as colored in black which is 13.5 but I cannot find the area of the areas that I marked in question marks.

Answer 1

The parts where there are questions marks - the areas where I do not know how to find the area

Answer 2

I figured it out. Its 33/2

Answer 3

the smallest area is given by the subsequent integral:

\[\large \int_0^1 {dx\;\left( {1 - \sqrt x } \right)} = ...?\]

Answer 4

Yep, I got that as well

Answer 5

Sorry for bothering you when I just found it.

Answer 6

no worries :)

Answer 7

the largest area, is given by the subsequent integral:
\[\large \int_0^4 {dx\;\left( { - \sqrt x + 2} \right)} = ...?\]
@keepo

Answer 8

2.667. I apologize for the late reply

@Michele_Laino

Answer 9

13.5 + .333+2.67 = 16.5

Answer 10

thanks!

Answer 11

no no, Thank you

Answer 12

:)