calc_tutorial_15_3_006

 
Problem Statement

{2,3,4}
{3,5,7}
{2,4,6,8}
pow(6,2)/2
5*18

Evaluate for the specified function f and the box B.

; 1 ≤ x ≤ 3, 0 ≤ y ≤ 5, 0 ≤ z ≤ 6

 
Step 1

Question Sequence

Question 1

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 = .

Thus in the box B = [1, 3] × [0, 5] × [0, 6], f(x, y, z) continuous.

Correct.
Incorrect.

 
Step 2

Question Sequence

Question 2

Apply Fubini's Theorem.

Correct.
Incorrect.

 
Step 3

Question Sequence

Question 3

Evaluate the iterated integral for the function f and box B.

.

= ln

Correct.
Incorrect.