Evaluate the integral. if -2 ≤x≤0 [₁ f(x) dx where f(x)=4-x² if 0

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
Evaluate the integral.
[
22
f(x) dx where f(x) =
X
Enhanced Feedback
3
14-x²
if -2 ≤ x ≤ 0
if 0 < x≤ 4
Please try again. Recall the Fundamental Theorem of Calculus (part 2): If f is continuous on [a, b], then
[₁
f(x) dx = F(b) F(a), where F is any antiderivative of f, that is, a function such that F' = f.
Try splitting up the integral into two parts and integrating each part separately.
Transcribed Image Text:Evaluate the integral. [ 22 f(x) dx where f(x) = X Enhanced Feedback 3 14-x² if -2 ≤ x ≤ 0 if 0 < x≤ 4 Please try again. Recall the Fundamental Theorem of Calculus (part 2): If f is continuous on [a, b], then [₁ f(x) dx = F(b) F(a), where F is any antiderivative of f, that is, a function such that F' = f. Try splitting up the integral into two parts and integrating each part separately.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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