$ 5² If f(x) dx = 31 and 659 g(x) dx = 12, find r5 1³ 1². [2f(x) + 4g(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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If 

\[
\int_{0}^{5} f(x) \, dx = 31
\]

and

\[
\int_{0}^{5} g(x) \, dx = 12,
\]

find 

\[
\int_{0}^{5} [2f(x) + 4g(x)] \, dx.
\]
Transcribed Image Text:If \[ \int_{0}^{5} f(x) \, dx = 31 \] and \[ \int_{0}^{5} g(x) \, dx = 12, \] find \[ \int_{0}^{5} [2f(x) + 4g(x)] \, dx. \]
If \(\int_{1}^{7} f(x) \, dx = 12\) and \(\int_{6}^{7} f(x) \, dx = 3.8\), find \(\int_{1}^{6} f(x) \, dx\).
Transcribed Image Text:If \(\int_{1}^{7} f(x) \, dx = 12\) and \(\int_{6}^{7} f(x) \, dx = 3.8\), find \(\int_{1}^{6} f(x) \, dx\).
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