Given 8 f(x) dx -2 8 ["s(2) de -2 = g(x) dx compute the following integral. Provide your answer below: - (6f(x) — 5g(x)) dx = •5 [ f(x) dx = •8 [² (6ƒ(x) — 59(x)) da 6 5 9(2) de 10, =

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:

\[
\int_{4}^{8} f(x) \, dx = -2 \quad \text{and} \quad \int_{4}^{5} f(x) \, dx = 6
\]

\[
\int_{4}^{8} g(x) \, dx = 2 \quad \text{and} \quad \int_{4}^{5} g(x) \, dx = -10
\]

Compute the following integral:

\[
\int_{5}^{8} (6f(x) - 5g(x)) \, dx
\]

## Instructions

Provide your answer below:

\[
\int_{5}^{8} (6f(x) - 5g(x)) \, dx = \Box
\]
Transcribed Image Text:## Problem Statement Given: \[ \int_{4}^{8} f(x) \, dx = -2 \quad \text{and} \quad \int_{4}^{5} f(x) \, dx = 6 \] \[ \int_{4}^{8} g(x) \, dx = 2 \quad \text{and} \quad \int_{4}^{5} g(x) \, dx = -10 \] Compute the following integral: \[ \int_{5}^{8} (6f(x) - 5g(x)) \, dx \] ## Instructions Provide your answer below: \[ \int_{5}^{8} (6f(x) - 5g(x)) \, dx = \Box \]
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