   Chapter 12.2, Problem 47E

Chapter
Section
Textbook Problem

# Finding an Indefinite Integral In Exercises 43–50, find the indefinite integral. ∫ [ ( 2 t − 1 ) i + 4 t 3 j + 3 t k ] d t

To determine

To calculate: The value of the indefinite integral [(2t1)i+4t3j+3tk]dt

Explanation

Given:

The indefinite integral:

[(2t1)i+4t3j+3tk]dt

Calculation:

Consider the provided integral:

[(2t1)i+4t3j+3tk]dt

Integrate the above indefinite integral component-by-component to get:

[(2t1)i+4t3j+3tk]dt=[(2t1)dt]i+[4t3dt]j+[3tdt]k=(2(t22

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