Solution: Simple linear factors Evaluate the following

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 9780321570567 2

Solution for problem 12E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Problem 12E

Simple linear factors

Evaluate the following integrals.

Step-by-Step Solution:

Problem 12E

Solution

Step 1

In this problem we have to evaluate $\int\limits_{\ }^{\ }\frac{1}{{t}^{2}\ -\ 9}\ dx$

Consider $\int\limits_{\ }^{\ }\frac{1}{{t}^{2}\ -\ 9}\ dx=\int\limits_{\ }^{\ }\frac{1}{(t\ -\ 3)(t\ +\ 3)}\ dt$ … (1)

Let us solve this by using Partial Fractions.

Let us first see about Partial Fractions.

When a proper rational expression is decomposed into a sum of two or more rational expressions, it is known as Partial Fractions.

Step 2 of 3

Chapter 7.4, Problem 12E is Solved

Step 3 of 3

Textbook: Calculus: Early Transcendentals

Edition: 1

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 9780321570567

The answer to “Simple linear factors Evaluate the following integrals.” is broken down into a number of easy to follow steps, and 7 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 12E from chapter: 7.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: evaluate, factors, Integrals, Linear, simple. This expansive textbook survival guide covers 112 chapters, and 5248 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 12E from 7.4 chapter was answered, more than 336 students have viewed the full step-by-step answer.