Simple linear factors
Evaluate the following integrals.
In this problem we have to evaluate
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.
Consider … (1)
Taking LCM in the right hand side we get,
Since the denominators of both sides are same, we can equate the numerator.
Put we get
Put we get
Thus (1) becomes,
Differentiating we get
Thus (2) becomes
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 10E from 7.4 chapter was answered, more than 275 students have viewed the full step-by-step answer. The answer to “Simple linear factors Evaluate the following integrals.” is broken down into a number of easy to follow steps, and 7 words. This full solution covers the following key subjects: evaluate, factors, Integrals, Linear, simple. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 10E from chapter: 7.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.