§ Multiple Integrals
Ex1:
∫ 2 [∫ x
Evaluate
]
2 −2
(2x y
1
+ 2y)dy dx
1
Sol:
Ex2:
Use an iterated integral to find the area of the region bounded by the graphs
of f (x) = sin x and g(x) = cos x between x = π/4 and x = 5π/4.
Sol:
Ex3: ∫
1∫ 1
Find
0
e−x dxdy.
2
y
Sol:
1