- #1
mathstudent192
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Homework Statement
Express the iterated integral ∫[0,1]∫[0,1-y^2]∫[0,y] f(x,y,z)dzdxdy
a. as a triple integral (i.e., describe the region of integration);
b. as an iterated integral in the order z, y, x;
c. as an iterated integral in the order y, z, x:
The Attempt at a Solution
so would writing (0<=z<=y) (0<=x<=1-y^2) (0<=y<=1) be sufficient for part a.
for part b. i got ∫[0,1] ∫[0,√1-x] ∫[0,y] which i think is correct.
for part c. however i had difficulty in changing the order because when i graph the dz and dy bounds to switch them, dy is in terms of x and I get stuck.