Need to know how to do these plus show the work for them o.o

Can someone help me do this?

#1


a) with respect to x
solve the equation for y, gives 2 functions
y = -sqrt(2-x)
y = sqrt(2-x)

and
y = x
y = -x

the red + blue area is = 1/2 * b * h = 1/2 * 2 * 1 = 1
the green area is integral 1 to 2 of {sqrt(2-x)}dx
the purple area is -1*integral 1 to 2 of {-sqrt(2-x)}dx

b.) with respect to y
area of green + purple is integral from -1 to 1 of {2-y^2}dy - 2
area of red+blue = 1/2 * b * h = 1/2 * 2 * 1 = 1

both equal 7/3

This post was edited by Rocinante on Dec 3 2013 08:09pm