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7/4 esin x sin 2x dx sin 2r dx 1. Cos ax dr = sin ax + C 2. sin ax dx -- cos ax + C %3D a a 4. csc ar de 1 = -- cot ax + C 3. ax dx = - tan ax + C a a 1 csc ax + C a 5. sec ax tan ax dx =- sec ax + C 6. csc ax cot ax= a dr = + C 1 + + C, b > 0, b + 1 In b 7. ar + C 8. h dr = a dx dr 9. at + x + C = sin- + C, a > 0 10. tan a %3! a* - x dx 11. -- - - seC + C, a > 0 xV a a a

7/4 esin x sin 2x dx sin 2r dx 1. Cos ax dr = sin ax + C 2. sin ax dx -- cos ax + C %3D a a 4. csc ar de 1 = -- cot ax + C 3. ax dx = - tan ax + C a a 1 csc ax + C a 5. sec ax tan ax dx =- sec ax + C 6. csc ax cot ax= a dr = + C 1 + + C, b > 0, b + 1 In b 7. ar + C 8. h dr = a dx dr 9. at + x + C = sin- + C, a > 0 10. tan a %3! a* - x dx 11. -- - - seC + C, a > 0 xV a a a

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Use a change of variables or Table to
evaluate the following definite integrals.

7/4 esin x sin 2x dx sin 2r dx
Transcribed Image Text:7/4 esin x sin 2x dx sin 2r dx
1. Cos ax dr = sin ax + C 2. sin ax dx -- cos ax + C %3D a a 4. csc ar de 1 = -- cot ax + C 3. ax dx = - tan ax + C a a 1 csc ax + C a 5. sec ax tan ax dx =- sec ax + C 6. csc ax cot ax= a dr = + C 1 + + C, b > 0, b + 1 In b 7. ar + C 8. h dr = a dx dr 9. at + x + C = sin- + C, a > 0 10. tan a %3! a* - x dx 11. -- - - seC + C, a > 0 xV a a a
Transcribed Image Text:1. Cos ax dr = sin ax + C 2. sin ax dx -- cos ax + C %3D a a 4. csc ar de 1 = -- cot ax + C 3. ax dx = - tan ax + C a a 1 csc ax + C a 5. sec ax tan ax dx =- sec ax + C 6. csc ax cot ax= a dr = + C 1 + + C, b > 0, b + 1 In b 7. ar + C 8. h dr = a dx dr 9. at + x + C = sin- + C, a > 0 10. tan a %3! a* - x dx 11. -- - - seC + C, a > 0 xV a a a
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