Evaluate the following integral. x/4 1/4 SSS 000 sin лx sin 2y sin 4z dy dx dz x/4 1/4 SSS sin xx sin 2y sin 4z dy dx dz= 000 (Type an exact answer, using as needed.)
Evaluate the following integral. x/4 1/4 SSS 000 sin лx sin 2y sin 4z dy dx dz x/4 1/4 SSS sin xx sin 2y sin 4z dy dx dz= 000 (Type an exact answer, using as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Evaluate the following integral:**
\[
\int_{0}^{\pi/4} \int_{0}^{1} \int_{0}^{\pi/4} \sin \pi x \sin 2y \sin 4z \, dy \, dx \, dz
\]
----
\[
\int_{0}^{\pi/4} \int_{0}^{1} \int_{0}^{\pi/4} \sin \pi x \sin 2y \sin 4z \, dy \, dx \, dz = \, \boxed{\phantom{}}
\]
*(Type an exact answer, using π as needed.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ade5d6c-ff37-4df2-b1de-522b52697cc9%2Fa51fe4af-af45-4b5b-bb3e-3f87594f96e2%2Fqfe0o2k_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluate the following integral:**
\[
\int_{0}^{\pi/4} \int_{0}^{1} \int_{0}^{\pi/4} \sin \pi x \sin 2y \sin 4z \, dy \, dx \, dz
\]
----
\[
\int_{0}^{\pi/4} \int_{0}^{1} \int_{0}^{\pi/4} \sin \pi x \sin 2y \sin 4z \, dy \, dx \, dz = \, \boxed{\phantom{}}
\]
*(Type an exact answer, using π as needed.)*
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