23,31

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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23,31
### Evaluate the integral:
1. \(\int \frac{5}{(x-1)(x+4)}dx\)
2. \(\int \frac{x-12}{x^2-4x}dx\)
3. \(\int \frac{5x+1}{(2x+1)(x-1)}dx\)
4. \(\int \frac{y}{(y+4)(2y-1)}dy\)
5. \(\int_0^1 \frac{2}{2x^2+3x+1}dx\)
6. \(\int_0^1 \frac{x-4}{x^2-5x+6}dx\)
7. \(\int \frac{1}{x(x-a)}dx\)
8. \(\int \frac{1}{(x+a)(x+b)}dx\)
9. \(\int \frac{x^2}{x-1}dx\)
10. \(\int \frac{3t-2}{t+1}dt\)
11. \(\int_1^2 \frac{4y^2-7y-12}{y(y+2)(y-3)}dy\)
12. \(\int_1^2 \frac{3x^2+6x+2}{x^2+3x+2}dx\)
13. \(\int_0^1 \frac{x^2+x+1}{(x+1)^2(x+2)}dx\)
14. \(\int_2^3 \frac{x(3-5x)}{(3x-1)(x-1)^2}dx\)
15. \(\int \frac{dt}{(t^2-1)^2}\)
16. \(\int \frac{3x^2+12x-20}{x^4-8x^2+16}dx\)
17. \(\int \frac{10}{(x-1)(x^2+9)}dx\)
18. \(\int \frac{3x^2-x+8}{x^3+4x}dx\)
19. \(\int_{-1}^2 \frac{x^3-4x+1}{x^2-3x+2}dx\)
20. \(\int
Transcribed Image Text:### Evaluate the integral: 1. \(\int \frac{5}{(x-1)(x+4)}dx\) 2. \(\int \frac{x-12}{x^2-4x}dx\) 3. \(\int \frac{5x+1}{(2x+1)(x-1)}dx\) 4. \(\int \frac{y}{(y+4)(2y-1)}dy\) 5. \(\int_0^1 \frac{2}{2x^2+3x+1}dx\) 6. \(\int_0^1 \frac{x-4}{x^2-5x+6}dx\) 7. \(\int \frac{1}{x(x-a)}dx\) 8. \(\int \frac{1}{(x+a)(x+b)}dx\) 9. \(\int \frac{x^2}{x-1}dx\) 10. \(\int \frac{3t-2}{t+1}dt\) 11. \(\int_1^2 \frac{4y^2-7y-12}{y(y+2)(y-3)}dy\) 12. \(\int_1^2 \frac{3x^2+6x+2}{x^2+3x+2}dx\) 13. \(\int_0^1 \frac{x^2+x+1}{(x+1)^2(x+2)}dx\) 14. \(\int_2^3 \frac{x(3-5x)}{(3x-1)(x-1)^2}dx\) 15. \(\int \frac{dt}{(t^2-1)^2}\) 16. \(\int \frac{3x^2+12x-20}{x^4-8x^2+16}dx\) 17. \(\int \frac{10}{(x-1)(x^2+9)}dx\) 18. \(\int \frac{3x^2-x+8}{x^3+4x}dx\) 19. \(\int_{-1}^2 \frac{x^3-4x+1}{x^2-3x+2}dx\) 20. \(\int
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