-5 #2. Suppose that S„ƒ(x)dx= 6 andS²,g(x)dx= -4. Find S°,[3f(x) – 0.5g(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 2:**

Suppose that 

\[
\int_{2}^{5} f(x) \, dx = 6 
\]

and 

\[
\int_{2}^{5} g(x) \, dx = -4.
\]

Find 

\[
\int_{2}^{5} [3f(x) - 0.5g(x)] \, dx.
\]
Transcribed Image Text:**Problem 2:** Suppose that \[ \int_{2}^{5} f(x) \, dx = 6 \] and \[ \int_{2}^{5} g(x) \, dx = -4. \] Find \[ \int_{2}^{5} [3f(x) - 0.5g(x)] \, dx. \]
Expert Solution
Step 1

To evaluate the given integral apply the following rules. 

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