   Chapter 8.6, Problem 27E

Chapter
Section
Textbook Problem

# Finding an Indefinite Integral In Exercises 19-40, use a table of integrals to find the indefinite integral. ∫ cos θ 3 + 2 sin θ + sin θ + sin 2 θ d θ

To determine

To calculate: The value of the indefinite integral cosθ3+2sinθ+sin2θdθ using the table of integrals.

Explanation

Given: We are given with the Indefinite integral expression cosθ3+2sinθ+sin2θdθ.

Formula used:

We will use formula 14 from the table of integrals:1a+bu+cu2du=24acb2arctan2cu+b4acb2+C

Calculation:

Compare the form of given Indefinite Integral with Formula 39 involving a+bu+cu2 :

1a+bu+cu2du=24acb2arctan2cu+b4acb2+C

We assume that a=3,b=2,c=1 and u=sinθ

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