Evaluate for the specified function f and the box B.
; 1 ≤ x ≤ $a, 0 ≤ y ≤ $b, 0 ≤ z ≤ $c
Recall Fubini's Theorem for triple integrals.
The triple integral of a continuous function f(x, y, z) over a box B = [a, b] × [c, d] × [p, q] is equal to the following iterated integral.
Furthermore, the iterated integral may be evaluated in any order.
The function is not continuous only at x = 1Wh3cvJ2xF4=.
Thus in the box B = [1, $a] × [0, $b] × [0, $c], f(x, y, z) bfdtn5PFpMarVC8x2zfiEQ== continuous.
Apply Fubini's Theorem.
5LZz9LLrkYsQ4Xzn6iaWgKLBgknnuARuBO5WpqZK2O8=
Evaluate the iterated integral for the function f and box B.
.
= 5dWJhLEUU4Y=lnnc1ItEz0kR4=