1-20 Find the most general antiderivative of the function. (Check your answer by differentiation.) 1. f(x) = { + ³x² - x³ 3. f(x) = (x + 1)(2x - 1) 5. f(x) = 5x¹/4 - 7x3/4 7. f(x) = 6 √x - √√x 9. f(x)=√√√2 11. c(t) = 3,1>0 13. g(0) = cos 0 - 5 sin 0 15. v(s) 4s + 3e' 17. f(u) 19. f(1) u² + 3√√u 7+1 2. f(x) = 8x² - 3x + 12x³ 4. f(x) = x(2 - x)² 6. f(x) = 2x + 3x¹7 8. f(x)=√√x + √√x+ 10. f(x) = e² 12. h(m) 2 √m 14. f(x) = 2√x + 6 cos x 16. u(r) - e- 18. f(x) = 3e² + 7 sec ³x 20. f(x) = 1+x-x²
1-20 Find the most general antiderivative of the function. (Check your answer by differentiation.) 1. f(x) = { + ³x² - x³ 3. f(x) = (x + 1)(2x - 1) 5. f(x) = 5x¹/4 - 7x3/4 7. f(x) = 6 √x - √√x 9. f(x)=√√√2 11. c(t) = 3,1>0 13. g(0) = cos 0 - 5 sin 0 15. v(s) 4s + 3e' 17. f(u) 19. f(1) u² + 3√√u 7+1 2. f(x) = 8x² - 3x + 12x³ 4. f(x) = x(2 - x)² 6. f(x) = 2x + 3x¹7 8. f(x)=√√x + √√x+ 10. f(x) = e² 12. h(m) 2 √m 14. f(x) = 2√x + 6 cos x 16. u(r) - e- 18. f(x) = 3e² + 7 sec ³x 20. f(x) = 1+x-x²
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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