8 8 Suppose ff(x) dx = • ƒ ƒ(a) dz − −1 and 19 (2) da − −4 -1 g dx = -4. 5 5 8 Evaluate f(-2 f(x) + 3 g(x)) dx. •(-2 5 Remember to include a "+ C" if appropriate. Number

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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### Integration Problems

#### Given Values:
Suppose \[\int_{5}^{8} f(x) \, dx = -1\] and \[\int_{5}^{8} g(x) \, dx = -4\].

#### Problem to Solve:
Evaluate \[\int_{5}^{8} (-2f(x) + 3g(x)) \, dx\].

**Remember to include a "+ C" if appropriate.**

---

*Note: In definite integration, the "+ C" (constant of integration) is not required as the limits of integration are specified.*
Transcribed Image Text:### Integration Problems #### Given Values: Suppose \[\int_{5}^{8} f(x) \, dx = -1\] and \[\int_{5}^{8} g(x) \, dx = -4\]. #### Problem to Solve: Evaluate \[\int_{5}^{8} (-2f(x) + 3g(x)) \, dx\]. **Remember to include a "+ C" if appropriate.** --- *Note: In definite integration, the "+ C" (constant of integration) is not required as the limits of integration are specified.*
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