Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 21RE
Related questions
Question
Disregard the answers in the box, make sure you answer correctly and show each answer for each step neatly. Thanks!!!
![Find the indefinite integral and check the result by differentiation.
cos X
dx
1- cos2x
Step 1
First, solve the denominator of the integrand. Recall that
sin?x + cos?x=
Step 2
Therefore, rewrite the integrand.
COS X
COS X
dx =
1- Cos x
dx
sin x
Rewrite the right side as a product of two fractions and evaluate the integral. (Use C for the constant of integration.)
COS X
sin x
xp
COS X
2
1- cos X
)(cot x) dx
-cos ecx + 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c7f32b8-e74c-4eab-a5df-41a31828ca24%2F69116d20-c55a-49b1-80f3-051a62dfb496%2Fy8b74l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the indefinite integral and check the result by differentiation.
cos X
dx
1- cos2x
Step 1
First, solve the denominator of the integrand. Recall that
sin?x + cos?x=
Step 2
Therefore, rewrite the integrand.
COS X
COS X
dx =
1- Cos x
dx
sin x
Rewrite the right side as a product of two fractions and evaluate the integral. (Use C for the constant of integration.)
COS X
sin x
xp
COS X
2
1- cos X
)(cot x) dx
-cos ecx + 0
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