Homework Help is Here – Start Your Trial Now!
Math
Calculus
Find the most general antiderivative. S(-8 sec² x) dx -8 cot x + C 8 cot x + C tan x + C -8 tan x + C

Find the most general antiderivative. S(-8 sec² x) dx -8 cot x + C 8 cot x + C tan x + C -8 tan x + C

Calculus: Early Transcendentals
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...
See similar textbooks
Question
**Question:** Find the most general antiderivative. \[ \int (-8 \sec^2 x) \, dx \] **Options:** - ( ) \(-8 \cot x + C\) - ( ) \(8 \cot x + C\) - ( ) \(\frac{\tan x}{8} + C\) - ( ) \(-8 \tan x + C\) In this problem, you're tasked with finding the antiderivative of \(-8 \sec^2 x\) with respect to \(x\). The antiderivative, also known as the indefinite integral, is a function that reverses the process of differentiation. The expression \(\int (-8 \sec^2 x) \, dx\) suggests using the basic antiderivative of \(\sec^2 x\), which is \(\tan x\), scaled by the constant \(-8\). Thus, the correct answer involves recognizing this relationship and applying the constant of integration \(C\).
Transcribed Image Text:**Question:** Find the most general antiderivative. \[ \int (-8 \sec^2 x) \, dx \] **Options:** - ( ) \(-8 \cot x + C\) - ( ) \(8 \cot x + C\) - ( ) \(\frac{\tan x}{8} + C\) - ( ) \(-8 \tan x + C\) In this problem, you're tasked with finding the antiderivative of \(-8 \sec^2 x\) with respect to \(x\). The antiderivative, also known as the indefinite integral, is a function that reverses the process of differentiation. The expression \(\int (-8 \sec^2 x) \, dx\) suggests using the basic antiderivative of \(\sec^2 x\), which is \(\tan x\), scaled by the constant \(-8\). Thus, the correct answer involves recognizing this relationship and applying the constant of integration \(C\).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS