Find the indefinite integral and check the result by differentiation. COS X dx 1- cos?x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 21RE
icon
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer