1-20 Find the most general antiderivative of the function. (Check your answer by differentiation.) 1. f(x) = { + ³x² − ³x³ 2. f(x) = 8x² - 3x6 + 12x³
1-20 Find the most general antiderivative of the function. (Check your answer by differentiation.) 1. f(x) = { + ³x² − ³x³ 2. f(x) = 8x² - 3x6 + 12x³
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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Number 1
Transcribed Image Text:1-20 Find the most general antiderivative of the function.
(Check your answer by differentiation.)
1. f(x) = 1 + 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
3
11. c(t) = 1, 1 > 0
13. g(0) = cos 0 - 5 sin 0
15. v(s) 4s + 3e'
17. f(u)
19. f(1)
u²+ 3√√u
U1²
2. f(x) = 8x² - 3x6 + 12x³
4. f(x) = x(2 - x)²
6. f(x) = 2x + 3x¹.7
8. f(x)=√x + √√xª
10. f(x) = e²
12. h(m)
2
√m
14. f(x) = 2√x + 6 cos x
16. u(r)-e-2
18. f(x) = 3e' +'7 sec³x
1+x-x²
20. f(x)=
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