Answer: Integrals over boxes Evaluate the following

Chapter 12, Problem 11E

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QUESTION:

Integrals over boxes Evaluate the following integrals. A sketch of the region of integration may be useful.

\(\int_{0}^{\pi / 2} \int_{0}^{1} \int_{0}^{\pi / 2} \sin \pi x \cos y \sin 2 z \ d y \ d x \ d z\)

Questions & Answers

QUESTION:

Integrals over boxes Evaluate the following integrals. A sketch of the region of integration may be useful.

\(\int_{0}^{\pi / 2} \int_{0}^{1} \int_{0}^{\pi / 2} \sin \pi x \cos y \sin 2 z \ d y \ d x \ d z\)

ANSWER:

Step 1 of 4

Let F=(sincos y sin 2z)

Integrate with limit given :

 

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