Exercise 2:
Integrate
int_D f , da = int_c^d left( int_a^b f[x,y] , dx
ight) , dy = int_a^b left( int_c^d f[x,y] , dy
ight) , dx
in both orders for the following functions and rectangles.
a) $f[x,y]=x^2 y$
where $D={(x,y):0leq xleq 1,0leq yleq 1}$
Exercise 2:
Integrate
$int_D f , da = int_d left( int_b f[x,y] , dx
ight) , dy = int_b left( int_d f[x,y] , dy
ight) , dx$
in both orders for the following functions and rectangles
a)
$f[x,y]=x^2 y$
where $D = {(x,y): 0 leq x leq 1, 0 leq y leq 1}$
