-1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx = 0 -4.5 c-4.5 -3 (5 f(x) - 6) 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...
Question
**Mathematics Integration Problem**

**Given Integrals:**

Let 
\[ \int_{-6}^{-1.5} f(x) \, dx = 5, \]
\[ \int_{-6}^{4.5} f(x) \, dx = 6, \]
\[ \int_{-3}^{-1.5} f(x) \, dx = 5. \]

**Tasks:**

1. Find the value of
\[ \int_{-4.5}^{-3} f(x) \, dx. \]

2. Determine the value of
\[ \int_{-3}^{4.5} (5f(x) - 6) \, dx. \]
Transcribed Image Text:**Mathematics Integration Problem** **Given Integrals:** Let \[ \int_{-6}^{-1.5} f(x) \, dx = 5, \] \[ \int_{-6}^{4.5} f(x) \, dx = 6, \] \[ \int_{-3}^{-1.5} f(x) \, dx = 5. \] **Tasks:** 1. Find the value of \[ \int_{-4.5}^{-3} f(x) \, dx. \] 2. Determine the value of \[ \int_{-3}^{4.5} (5f(x) - 6) \, dx. \]
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