In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x, y, z) is evaluated at the center (X, Yj. Zk) of the box Bijk- Use the Midpoint Rule to estimate the value of the integral. Divide B into eight sub-boxes of equal size. (Round your answer to two decimal places.) JJJ 9√√x² + y² + z² dv, where B = {(x, y, z) 1 0 ≤ x ≤ 4,0 ≤ y ≤ 4,0 sz≤ 4}

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x, y, z) is evaluated at the center (X₁, V₁, Zk) of the box Bijk. Use the Midpoint Rule to
estimate the value of the integral. Divide B into eight sub-boxes of equal size. (Round your answer to two decimal places.)
III. 9 √x² + y² + z² dV, where B = {(x, y, z) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 4,0 ≤ z s 4}
Transcribed Image Text:In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x, y, z) is evaluated at the center (X₁, V₁, Zk) of the box Bijk. Use the Midpoint Rule to estimate the value of the integral. Divide B into eight sub-boxes of equal size. (Round your answer to two decimal places.) III. 9 √x² + y² + z² dV, where B = {(x, y, z) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 4,0 ≤ z s 4}
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