   Chapter 5.1, Problem 28E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# If A is the area under the curve y = ex from 1 to 3, use Exercise 27 to find a value of n such that Rn − A < 0.0001.

To determine

To find: The value of the number of interval (n).

Explanation

Given information:

The curve function is f(x)=y=ex.

The upper limit (b) is 3 and the lower limit (a) is 1.

The relation given is RnA<0.0001 (1)

The relation to find the value of n is shown below:

RnA<ban[f(b)f(a)] (2)

Here, the upper sum is Rn, the area is A, the lower limit is a, the upper limit is b, and the difference in curve function value is [f(b)f(a)].

Substitute 3 for b and 1 for a in Equation (2)

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