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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 48E
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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.
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