   Chapter 8.7, Problem 24E

Chapter
Section
Textbook Problem

Finding an Indefinite Integral In Exercises 19-40, use a table of integrals to find the indefinite integral. ∫ θ 3 1 + sin θ 4   d θ

To determine

To calculate: The value of the indefinite integral θ31+sinθ4dx using the table of integrals.

Explanation

Given:

We are given with the Indefinite integral expression θ31+sinθ4dx.

Formula used:

We will use formula 56 from the table of integrals:

11±sinudu=tanu±secu+C

Calculation:

Compare the form of given Indefinite Integral with Formula 56 involvingsin function:

11±sinudu=tanusecu+C

We assume that u=θ4

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