Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Evaluate the integrals . Some integrals do not
require
Expert Solution
Step 1
We have to evaluate the integral:
Rewriting the integration,
Here two functions are in product so we need to use integration by parts
When two function are in product then we do use integration by parts method
in this method we decide (first function) and (second function)
according to ILATE order rule,
Here ILATE stands for
Inverse function
Logarithmic function
Algebraic function
Trigonometric function
Exponential function
According to this rule,
Therefore assuming,
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