To calculate: The infinite integral of
Answer to Problem 1RE
Solution:
The infinite integral of
Explanation of Solution
Given Information:
The provided integral is
Formula used:
The method of integration by parts:
If
Then,
Steps to solve the integral problems:
Step1: At first find the most complicated portion of the integrand and try to letter it as
Step2: First find the factor whose derivative is simple and consider it as
Calculation:
Recall the provided integral.
Observe from the above integrand that the simplest portion of the integrand is
Now consider
Therefore,
And,
Apply the integration by parts method.
Substitute
Hence, the infinite integral of
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Chapter 6 Solutions
Calculus: An Applied Approach (Providence College: MTH 109)
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage