Evaluate the indefinite integral. [sec sec (0) tan (0) de (Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absor into C as much as possible.) ] sec (0) tan (0) de = sec (0) + C 8

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
### Indefinite Integral Evaluation

Evaluate the indefinite integral:

\[ \int \sec^8(\theta) \tan(\theta) \, d\theta \]

(Express numbers in exact form. Use symbolic notation and fractions where needed. Use \( C \) for the arbitrary constant. Absorb into \( C \) as much as possible.)

The solution is provided below:

\[ \int \sec^8(\theta) \tan(\theta) \, d\theta = \frac{1}{8} \sec^8(\theta) + C \] 

This integral has been evaluated, and the solution is expressed in its exact form with symbolic notation and fractions. The arbitrary constant \( C \) is included in the result.
Transcribed Image Text:### Indefinite Integral Evaluation Evaluate the indefinite integral: \[ \int \sec^8(\theta) \tan(\theta) \, d\theta \] (Express numbers in exact form. Use symbolic notation and fractions where needed. Use \( C \) for the arbitrary constant. Absorb into \( C \) as much as possible.) The solution is provided below: \[ \int \sec^8(\theta) \tan(\theta) \, d\theta = \frac{1}{8} \sec^8(\theta) + C \] This integral has been evaluated, and the solution is expressed in its exact form with symbolic notation and fractions. The arbitrary constant \( C \) is included in the result.
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