Given 5 [³ F(x f(x) dx = 15 and (a) (b) 5 [[F(X. [f(x) + g(x)] dx 5 [[g(x in 5 nd [³ g(x) g(x) dx = -5, evaluate the following. [g(x) - f(x)] dx 5 (c) 2g(x) dx
Given 5 [³ F(x f(x) dx = 15 and (a) (b) 5 [[F(X. [f(x) + g(x)] dx 5 [[g(x in 5 nd [³ g(x) g(x) dx = -5, evaluate the following. [g(x) - f(x)] dx 5 (c) 2g(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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![### Problem Statement:
Given the integrals:
\[
\int_{2}^{5} f(x) \, dx = 15 \quad \text{and} \quad \int_{2}^{5} g(x) \, dx = -5,
\]
evaluate the following expressions.
#### (a) Evaluate
\[
\int_{2}^{5} [f(x) + g(x)] \, dx
\]
#### (b) Evaluate
\[
\int_{2}^{5} [g(x) - f(x)] \, dx
\]
#### (c) Evaluate
\[
\int_{2}^{5} 2g(x) \, dx
\]
#### (d) Evaluate
\[
\int_{2}^{5} 3f(x) \, dx
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe42c0efe-14fe-42af-bc89-aaae6e3d971b%2F0af25ab7-a712-40dc-b2c2-927822f4d20f%2Fg7b5qul_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
Given the integrals:
\[
\int_{2}^{5} f(x) \, dx = 15 \quad \text{and} \quad \int_{2}^{5} g(x) \, dx = -5,
\]
evaluate the following expressions.
#### (a) Evaluate
\[
\int_{2}^{5} [f(x) + g(x)] \, dx
\]
#### (b) Evaluate
\[
\int_{2}^{5} [g(x) - f(x)] \, dx
\]
#### (c) Evaluate
\[
\int_{2}^{5} 2g(x) \, dx
\]
#### (d) Evaluate
\[
\int_{2}^{5} 3f(x) \, dx
\]
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