Evaluate the following integral. \int_0^\pi \int_0^1 \int_0^\frac {\pi}{4} \ sin \ \pi x \ cos \...
Question:
Evaluate the following integral.
{eq}\int_0^\pi \int_0^1 \int_0^\frac {\pi}{4} \ sin \ \pi x \ cos \ 2y \ sin \ z \ dy \ dx \ dz\\ \int_0^\pi \int_0^1 \int_0^\frac {\pi}{4} \ sin \ \pi x \ cos \ 2y \ sin \ z \ dy \ dx \ dz=\Box {/eq}
Multiple Integration:
Multiple integration defines the integral over a three-dimensional region.
It can be used to find the volume under the surface.
Basic integration formulas used in the solution are:
{eq}\displaystyle\int \sin x\ dx=-\cos x+c\\\\ \displaystyle\int \cos x\ dx=\sin x+c\\\\ {/eq}
Answer and Explanation: 1
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View this answerWe have to calculate the triple integrals of the given function:
{eq}\displaystyle\int _0^{\pi}\displaystyle\int _0^1\displaystyle\int...
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Chapter 13 / Lesson 7Learn how to use and define integration by parts. Discover the integration by parts rule and formula. Learn when and how to use integration by parts with examples.