Solve the problem.
-Write
$$\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { y } f ( x , y ) d x d y + \int _ { 0 } ^ { 9 } \int _ { y } ^ { 9 } f ( x , y ) d x d y$$
as a single iterated integral.
A) $\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 9 } f ( x , y ) d x d y$
B) $\int _ { 0 } ^ { 9 } \int _ { - y / 9 } ^ { y / 9 } f ( x , y ) d x d y$
C) $\int _ { 0 } ^ { 9 } \int _ { - y } ^ { y } f ( x , y ) d x d y$
D) $\int _ { - 9 } ^ { 9 } \int _ { - 9 } ^ { 9 } f ( x , y ) d x d y$

Question

Quizplus · Accepted Answer

The given expression can be simplified as a single iterated integral over the square region [0,9]x[0,9], since the first integral covers the lower triangle and the second covers the upper triangle of this square.

Solve the Problem ∫09∫0yf(x,y)dxdy+∫09∫y9f(x,y)dxdy\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { y } f ( x , y ) d x d y + \int _ { 0 } ^ { 9 } \int _ { y } ^ { 9 } f ( x , y ) d x d y∫09​∫0y​f(x,y)dxdy+∫09​∫y9​f(x,y)dxdy

Solve the Problem $\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { y } f ( x , y ) d x d y + \int _ { 0 } ^ { 9 } \int _ { y } ^ { 9 } f ( x , y ) d x d y$