You know that f(x) = g(x) + 8 and that 30 €1.2⁰1 You also know that f(18)= 4 and f(30) = 3. The region is bounded by the curves y = f(x), y = g(x), z = 18 and 2 = 30, The area of is: 30 Lov 30 18 H. r. f(x²) dr = f'(x) 2+ f(x) dz= f(t) dt = 26.

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...
icon
Related questions
Question
Constant Functions: kdx = kx+C
Exponential Functions | e¹dx=e³ +C
Trig Functions: cos(x) dx = sin( x) +C
√ csc²(x)dx = −cot(x) + C
Inverse Trig Functions:
The area of Ris:
√30
3√2
You know that f(x) = g(x) + 8 and that
30
18
Antiderivative Facts
x.
c. f(x²) dx =
f'(x)
2 + f(x)
Add Work
You also know that f(18) = 4 and f(30) = 3.
The region is bounded by the curves y = f(x), y = g(x), x = 18 and x = 30.
Submit Question
dx =
sin(x)dx=-cos(x) + C
| sec(x) tan(x) dx = sec(x) + C
S
Powers of x. xdx=+C₁pz-1dx=x+C
x:
√
1
S dx = arctan(x) + C
1+x²
S 1
|x|√x
dx = arcsec(x) + C
30
Loº FC
18
f(t) dt = 26.
[sec²(x)dx=tan(x) + C
[csc(x) cot(x) dx = -csc(x) + C
dx = arcsin(x) + C
G
Transcribed Image Text:Constant Functions: kdx = kx+C Exponential Functions | e¹dx=e³ +C Trig Functions: cos(x) dx = sin( x) +C √ csc²(x)dx = −cot(x) + C Inverse Trig Functions: The area of Ris: √30 3√2 You know that f(x) = g(x) + 8 and that 30 18 Antiderivative Facts x. c. f(x²) dx = f'(x) 2 + f(x) Add Work You also know that f(18) = 4 and f(30) = 3. The region is bounded by the curves y = f(x), y = g(x), x = 18 and x = 30. Submit Question dx = sin(x)dx=-cos(x) + C | sec(x) tan(x) dx = sec(x) + C S Powers of x. xdx=+C₁pz-1dx=x+C x: √ 1 S dx = arctan(x) + C 1+x² S 1 |x|√x dx = arcsec(x) + C 30 Loº FC 18 f(t) dt = 26. [sec²(x)dx=tan(x) + C [csc(x) cot(x) dx = -csc(x) + C dx = arcsin(x) + C G
Expert Solution
steps

Step by step

Solved in 5 steps

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