Question

Need Double Integral Help

Answer 1

\[\int\limits_{0}^{3}\int\limits_{0}^{2}(4-y ^{2})dydx\]

Answer 2

simple
first solve this \[\int\limits_{0}^{2}(4-y^2)dy\]

once you find the solution which we will call "Z"

do the integral
\[\int\limits_{0}^{3}Z dx\]

Answer 3

What is the first step of integral? Of \[(4-y ^{2})\]?

Answer 4

... if you're doing double integrals, how do you not know how to integrate...

Answer 5

The first step this time is a bit confusing.

Answer 6

\[\int\limits_{0}^{2}(4-y^2)dy=\int\limits_{0}^{2}4dy-\int\limits_{0}^{2}y^2 dy\]

Answer 7

Ok, I think I can take it from here.

Answer 8

x and y are variables, they can be replaced with whatever variables you choose if it helps you solve the integral