Chapter 15, Problem 49RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

If *D* is the region bounded by the curves *y =* 1 − *x*^{2} and *y* = *e ^{x}*, find the approximate value of the integral

To determine

**To find:** The approximate the value of the given integral.

Explanation

**Given:**

The region *D* is bounded by the curves

The double integral is

**Calculation:**

Use the graphing calculator to draw the given two curves and find the point of intersection of the curves as given below in the Figure 1.

From Figure 1, it is observed that the point of intersection is *x* varies from

Integrate with respect to *x* and apply the limit.

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