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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Question
Evaluate the integral #22
Transcribed Image Text:Certainly! Here is the transcription of the integrals from the image for educational purposes:
14. \(\int \frac{1}{(x+a)(x+b)} \, dx\)
16. \(\int \frac{x^3 + 4x^2 + x - 1}{x^3 + x^2} \, dx\)
18. \(\int \frac{3x^2 + 6x + 2}{x^2 + 3x + 2} \, dx\)
20. \(\int_2^3 \frac{x(3 - 5x)}{(3x - 1)(x - 1)^2} \, dx\)
22. \(\int \frac{x^4 + 9x^2 + x + 2}{x^2 + 9} \, dx\)
24. \(\int \frac{x^2 - x + 6}{x^3 + 3x} \, dx\)
26. \(\int \frac{x^2 + x + 1}{(x^2 + 1)^2} \, dx\)
This list presents various calculus problems involving definite and indefinite integrals. Each problem requires integration techniques and may necessitate methods like substitution, partial fractions, or integration by parts for their solutions.
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