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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d8d0c97-e66d-424a-9c52-d4c7d8464ad8%2F1ca0845e-3602-4dbe-9d16-05ecb9edea59%2Filtoa2f_processed.jpeg&w=3840&q=75)
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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