   Chapter 12.2, Problem 49E

Chapter
Section
Textbook Problem

# Finding an Indefinite Integral In Exercises 39–46, find the indefinite integral. ∫ ( sec 2 t i + 1 1 + t 2 j ) d t

To determine

To calculate: The simplified value of the indefinite integral (sec2ti+11+t2j)dt.

Explanation

Given:

The indefinite integral is: (sec2ti+11+t2j)dt.

Formula used:

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

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

Calculation:

Consider the provided indefinite integral,

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