   Chapter 12.2, Problem 46E

Chapter
Section
Textbook Problem

# Finding an Indefinite Integral In Exercises 39-46, find the indefinite integral. ∫ ( ln t i + 1 t j + k ) d t

To determine

To calculate: The simplified value of the provided indefinite integral (lnti+1tj+k)dt.

Explanation

Given:

The indefinite integral is: (lnti+1tj+k)dt

Formula used:

If r(t)=f(t)i+g(t)j+h(t)k, where f, g, and h are continuous function on [a,b], then the indefinite integral of r is:

r(t)dt=[f(t)dt]i+[g(t)dt]j+[h(t)dt]k

Calculation:

Consider the following indefinite integral:

(lnti+1tj+k)dt

Evaluate the integration and obtain the following result:

(lnti+1tj+k)dt=[lntdt]i

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