Let F(x, Y)be a Positive Function of X and Y $\int _ { 0 } ^ { 3 } g ( x ) d x = 10$

Short Answer

Let f(x, y)be a positive function of x and y which is independent of x, that is, f(x, y)= g(y)for some one-variable function g.Suppose that $\int _ { 0 } ^ { 3 } g ( x ) d x = 10$ and $\int _ { 0 } ^ { 10 } g ( x ) d x = 1$ .
Find $\int _ { R } f d A$ , where R is the rectangle 0 $\le$ x $\le$ 3, 0 $\le$ y $\le$ 10.