1. / x sin x dx

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...
Question

state what method applies and how one applies it, but do not evaluate the integral:

1. / x sin x dx
Transcribed Image Text:1. / x sin x dx
Expert Solution
Step 1: Given that:

Calculus homework question answer, step 1, image 1

Step 2: Applied Method:

Since the Function provided in the given integral is in the form of a product of two different functions. Therefore for evaluating these types of integrals we use the method of Integration By Parts.

According to the method of Integration By Parts, consider one function as the first function and another function as the second function by the Rule of ILATE taken in series starting for considering the first function which stands for:

I: Inverse Trigonometric Function

L: Logarithmic function

A: Algebraic Function

T: Trigonometric Function

E: Exponential Function

And Applying the method as:

Calculus homework question answer, step 2, image 1

 

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