Table 8.1 Basic Integration Formulas 1. k dx = kx + C, k real - |x° dx = p + 1 Sos 2. + C, p + -1 real 3. cos ax dx sin ax + C a 5. sec ax dx 6. csc? ar dx 4. sin ax dx = -- cos ax + C a tan ax + C a -- cot ax + C a ах dx 1 Ax + C 7. 8. csc ax cot ax di = csc ax + C a sec ax tan ax dx = - sec ax + C a 9. = - -- a dx 1 tan a a dx |x| + C 11. a? + + C sin + С,а> 0 a 10. 12. dr 13. sec a + C, a > 0 14. tan ax dr -In |sec ax| + C 15. cot ax dx = -In |sin ax| + C xVx? a 17. fese ax de -In csc ax + cot ax + C a 16. sec ax dx -In sec ax + tan ar + C a Use Table 8.1 (p. 520) to complete the process of evaluating sin x + 1 - dx cos?x
Table 8.1 Basic Integration Formulas 1. k dx = kx + C, k real - |x° dx = p + 1 Sos 2. + C, p + -1 real 3. cos ax dx sin ax + C a 5. sec ax dx 6. csc? ar dx 4. sin ax dx = -- cos ax + C a tan ax + C a -- cot ax + C a ах dx 1 Ax + C 7. 8. csc ax cot ax di = csc ax + C a sec ax tan ax dx = - sec ax + C a 9. = - -- a dx 1 tan a a dx |x| + C 11. a? + + C sin + С,а> 0 a 10. 12. dr 13. sec a + C, a > 0 14. tan ax dr -In |sec ax| + C 15. cot ax dx = -In |sin ax| + C xVx? a 17. fese ax de -In csc ax + cot ax + C a 16. sec ax dx -In sec ax + tan ar + C a Use Table 8.1 (p. 520) to complete the process of evaluating sin x + 1 - dx cos?x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 50E
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