Chapter 15.2, Problem 25E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the volume of the given solid.

**25.** Under the surface *z* = *xy* and above the triangle with vertices (1, 1), (4, 1), and (1, 2)

To determine

**To find:** The volume of the solid that lies under the surface and above the triangle*.*

Explanation

**Given:**

The surface is

The vertices of triangle is,

**Formula used:**

The volume of the solid,

**Calculation:**

The equation of the side of the triangle is
*y* varies from *1* and *2*. So, the volume of the solid is computed as follows.

First, compute the integral with respect to *x*.

Apply the limit value for *x*,

Compute the integral with respect to *y*

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