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# Improper integrals by numerical methods Use the Trapezoid ISBN: 9780321570567 2

## Solution for problem 51E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Problem 51E

Improper integrals by numerical methods Use the Trapezoid Rule (Section 7.6) to approximate with R =2, 4, and 8. For each value of R, take n = 4, 8, 16, and 32, and compare approximations with successive values of n. Use these approximations to approximate .

Step-by-Step Solution:
Step 1 of 3

Solution:-

Step1

Given that

Use the Trapezoid Rule (Section 7.6) to approximate with R =2, 4, and 8. For each value of R, take n = 4, 8, 16, and 32, . Use these approximations to approximate .

Step2

To find

compare approximations with successive values of n.

Step3

N=4 and R=2

Using trapezoidal rule  Divide interval [0,2] into n=4 subintervals of length a=0, f( 2f( 2f( 2f( f( Finally , just sum up above values and multiply by = = Step4

N=8 and R=4

Using trapezoidal rule Divide interval [0,4] into n=8 subintervals of length a=0, f( 2f( 2f( 2f( 2f( 2f( 2f( 2f( f( Finally , just sum up above values and multiply by = =0.886227

Step5

N=16 and R=8

Using trapezoidal rule Divide interval [0,8] into n=16 subintervals of length a=0, f( 2f( 2f( 2f( .

.

.

.

2f( f( Finally , just sum up above values and multiply by = =0.886227

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

The answer to “Improper integrals by numerical methods Use the Trapezoid Rule (Section 7.6) to approximate with R =2, 4, and 8. For each value of R, take n = 4, 8, 16, and 32, and compare approximations with successive values of n. Use these approximations to approximate .” is broken down into a number of easy to follow steps, and 46 words. Since the solution to 51E from 7.7 chapter was answered, more than 306 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: approximate, approximations, use, numerical, Integrals. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 51E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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Improper integrals by numerical methods Use the Trapezoid