Question

double integration example​

Answer 1

Step-by-step explanation:

To illustrate computing double integrals as iterated integrals, we start with the simplest example of a double integral over a rectangle and then move on to an integral over a triangle.

Example 1

Compute the integral

∬Dxy2dA∬Dxy2dA

where DD is the rectangle defined by 0≤x≤20≤x≤2 and 0≤y≤10≤y≤1 pictured below.



hope its help u

Answer 2

Step-by-step explanation:

Take this easy example...

$\int\int \: xy \: dxdy \\ \\ \\ = \int \: x \: dx\int \: y \: dy \\ \\ = ( \frac{ {x}^{2} }{2} )( \frac{ {y}^{2} }{2} ) \\ \\ = \frac{ {x}^{2} {y}^{2} }{4}$