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Multiplication by 1 Derive integral formula 16 in Table 8.1: sec ar dr = - In|sec ax + tan ax| + C. %3D a Table 8.1 Basic Integration Formulas 2. far de =- 5. Jsæc'ax de = tun ar + 0 k dx = kx + C, k real + C, p + -1 real - sin ax + C a 1. 3. cos ax dx p + 1 4. sin ax dr = -- cos ax + C a 6. csc? ax dr -- cot ax + C a ах e" dx = 1 Ax + C 7. = - sec ax + C a 8. csc ax cot ax dr = -- csc ax + C a sec ax tan ax dx 9. a dx 1 dx |x| + C tan* a + C sin a + C, a > 0 10. 11. 12. a? Va – x² a dr + C, a > 0 -In |sec ar| + C 15. [cot ax dx = -In |sin ax| + C 13. sec a 14. tan ax dx xVx - q? a 1 -In sec ax + tan ax + C a -In csc ax + cot ax + C a 16. sec ax dx 17. csc ax dx %3!

Multiplication by 1 Derive integral formula 16 in Table 8.1: sec ar dr = - In|sec ax + tan ax| + C. %3D a Table 8.1 Basic Integration Formulas 2. far de =- 5. Jsæc'ax de = tun ar + 0 k dx = kx + C, k real + C, p + -1 real - sin ax + C a 1. 3. cos ax dx p + 1 4. sin ax dr = -- cos ax + C a 6. csc? ax dr -- cot ax + C a ах e" dx = 1 Ax + C 7. = - sec ax + C a 8. csc ax cot ax dr = -- csc ax + C a sec ax tan ax dx 9. a dx 1 dx |x| + C tan* a + C sin a + C, a > 0 10. 11. 12. a? Va – x² a dr + C, a > 0 -In |sec ar| + C 15. [cot ax dx = -In |sin ax| + C 13. sec a 14. tan ax dx xVx - q? a 1 -In sec ax + tan ax + C a -In csc ax + cot ax + C a 16. sec ax dx 17. csc ax dx %3!

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 40E
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Multiplication by 1 Derive integral formula 16 in Table 8.1: sec ar dr = - In|sec ax + tan ax| + C. %3D a
Transcribed Image Text:Multiplication by 1 Derive integral formula 16 in Table 8.1: sec ar dr = - In|sec ax + tan ax| + C. %3D a
Table 8.1 Basic Integration Formulas 2. far de =- 5. Jsæc'ax de = tun ar + 0 k dx = kx + C, k real + C, p + -1 real - sin ax + C a 1. 3. cos ax dx p + 1 4. sin ax dr = -- cos ax + C a 6. csc? ax dr -- cot ax + C a ах e" dx = 1 Ax + C 7. = - sec ax + C a 8. csc ax cot ax dr = -- csc ax + C a sec ax tan ax dx 9. a dx 1 dx |x| + C tan* a + C sin a + C, a > 0 10. 11. 12. a? Va – x² a dr + C, a > 0 -In |sec ar| + C 15. [cot ax dx = -In |sin ax| + C 13. sec a 14. tan ax dx xVx - q? a 1 -In sec ax + tan ax + C a -In csc ax + cot ax + C a 16. sec ax dx 17. csc ax dx %3!
Transcribed Image Text:Table 8.1 Basic Integration Formulas 2. far de =- 5. Jsæc'ax de = tun ar + 0 k dx = kx + C, k real + C, p + -1 real - sin ax + C a 1. 3. cos ax dx p + 1 4. sin ax dr = -- cos ax + C a 6. csc? ax dr -- cot ax + C a ах e" dx = 1 Ax + C 7. = - sec ax + C a 8. csc ax cot ax dr = -- csc ax + C a sec ax tan ax dx 9. a dx 1 dx |x| + C tan* a + C sin a + C, a > 0 10. 11. 12. a? Va – x² a dr + C, a > 0 -In |sec ar| + C 15. [cot ax dx = -In |sin ax| + C 13. sec a 14. tan ax dx xVx - q? a 1 -In sec ax + tan ax + C a -In csc ax + cot ax + C a 16. sec ax dx 17. csc ax dx %3!
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