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Solved: Simple linear factors Evaluate the following
Chapter 4, Problem 10E(choose chapter or problem)
QUESTION:
Simple linear factors Evaluate the following integrals.
\(\int \frac{8}{(x-2)(x+6)} d x\)
Questions & Answers
QUESTION:
Simple linear factors Evaluate the following integrals.
\(\int \frac{8}{(x-2)(x+6)} d x\)
ANSWER:Problem 10E
Solution
Step 1
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