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.

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The Answer of 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.

Let F(x, Y)be a Positive Function of X and Y ∫03g(x)dx=10\int _ { 0 } ^ { 3 } g ( x ) d x = 10∫03​g(x)dx=10

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