Table 4.9 Indefinite Integrals of Trigonometric Functions d (sin x) cos x Jcos x dx = sin x + C 1. dx d (cos x) sin x dx -cos x + C 2. -sin x = dx 3. (tan x) = sec? x = dx |sec? x dx = tan x + C d 4. (cot x) = -csc² x = |csc? x x dx = -cot xr + C dx 5. -(sec х) sec x tan x dx = sec x + C sec x tan x dr d 6. (csc x) -csc x cot x csc x cot x dx = -csc x + C dr QUICK CHECK 3 Use differentiation to verify result 6 in Table 4.9: Jese csc x cot x dx = -csc x + C. <

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
icon
Related questions
Question
Table 4.9 Indefinite Integrals of Trigonometric Functions
d
(sin x)
cos x
Jcos x dx = sin x + C
1.
dx
d
(cos x)
sin x dx
-cos x + C
2.
-sin x
=
dx
3.
(tan x) = sec? x =
dx
|sec? x dx =
tan x + C
d
4.
(cot x)
= -csc² x =
|csc? x
x dx = -cot xr + C
dx
5.
-(sec х)
sec x tan x dx
= sec x + C
sec x tan x
dr
d
6.
(csc x)
-csc x cot x
csc x cot x dx = -csc x + C
dr
Transcribed Image Text:Table 4.9 Indefinite Integrals of Trigonometric Functions d (sin x) cos x Jcos x dx = sin x + C 1. dx d (cos x) sin x dx -cos x + C 2. -sin x = dx 3. (tan x) = sec? x = dx |sec? x dx = tan x + C d 4. (cot x) = -csc² x = |csc? x x dx = -cot xr + C dx 5. -(sec х) sec x tan x dx = sec x + C sec x tan x dr d 6. (csc x) -csc x cot x csc x cot x dx = -csc x + C dr
QUICK CHECK 3 Use differentiation
to verify result 6 in Table 4.9:
Jese
csc x cot x dx
= -csc x + C. <
Transcribed Image Text:QUICK CHECK 3 Use differentiation to verify result 6 in Table 4.9: Jese csc x cot x dx = -csc x + C. <
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill