1 •[₁ F(X) -1 Given f(x) dx = 0 and (a) [f f(x) and [₁ f(x) dx. 1 (c) [₁² (d) (b) • [² f(x) dx - [° F(x) dx. 2f(x) dx. 1 [₁2F(X) f(x) dx = 10, evaluate 2f(x) dx.

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...
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Given 

\[
\int_{-1}^{1} f(x) \, dx = 0 
\] 

and 

\[
\int_{0}^{1} f(x) \, dx = 10
\]

evaluate:

(a) \(\int_{-1}^{0} f(x) \, dx\).

(b) \(\int_{0}^{1} f(x) \, dx - \int_{-1}^{0} f(x) \, dx\).

(c) \(\int_{-1}^{1} 2f(x) \, dx\).

(d) \(\int_{0}^{1} 2f(x) \, dx\).
Transcribed Image Text:Given \[ \int_{-1}^{1} f(x) \, dx = 0 \] and \[ \int_{0}^{1} f(x) \, dx = 10 \] evaluate: (a) \(\int_{-1}^{0} f(x) \, dx\). (b) \(\int_{0}^{1} f(x) \, dx - \int_{-1}^{0} f(x) \, dx\). (c) \(\int_{-1}^{1} 2f(x) \, dx\). (d) \(\int_{0}^{1} 2f(x) \, dx\).
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