Find the average value of f(x,y) =ysinxy over the rectangle [0,1]×[0,Pi/2]

average-value
fxy-ysinxy

#1

Find the average value of f(x,y) =ysinxy over the rectangle [0,1]×[0,Pi/2]

Answer:

To find the average of the function we have to integrate the function over the rectangle and divide with the area of rectangle.

Integrate first with respect to x and then with respect to y:

image
image