Compute the iterated integrals   Explain why your answers do not contradict Theorem 16.1 on page 876. Theorem 16.1 Writing a Double Integral as an Iterated Integral If R is the rectangle a ≤ x ≤ b, c ≤ y ≤ d and f is a continuous function on R, then the integral of f over R exists and is equal to the iterated integral

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.CR: Chapter 8 Review
Problem 14CR
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Compute the iterated integrals

 

Explain why your answers do not contradict Theorem 16.1 on page 876.

Theorem 16.1

Writing a Double Integral as an Iterated Integral If R is the rectangle a ≤ x ≤ b, c ≤ y ≤ d and f is a continuous function on R, then the integral of f over R exists and is equal to the iterated integral

 

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