1206-Integral_Formulas

1206-Integral_Formulas - du = csc 2 u + csc u cot u csc u +...

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Elementary Integral Formulas 1. u n du = 1 n + 1 u n + 1 + C, n ≠ - 1 2. 1 u du = ln u + C 3. e u du = e u + C 3a. e kx dx = 1 k e kx + C 3b. a u du = 1 lna a u + C 4. cosu du = sinu + C 4a. coskx dx = 1 k sinkx + C 5. sin u du = - cos u + C 5a. sinkx dx = - 1 k coskx + C 6. sec 2 u du = tanu + C 7. csc 2 u du = - cotu + C 8. secutanudu = secu + C 9. cscucotudu = - cscu + C 10. tanudu = sinu cosu du = - ln cosu + C = ln secu + C 11. cotu du = cosu sinu du = ln sinu + C 12. sec u du = sec u sec u + tan u sec u + tan u du = sec 2 u + sec u tan u sec u + tan u du = ln sec u + tan u + C 13. csc u du = csc u csc u + cot u csc u + cot u
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Unformatted text preview: du = csc 2 u + csc u cot u csc u + cot u du = -ln csc u + cot u + C 14. 1 1 + u 2 du = tan-1 u + C 14a. 1 a 2 + u 2 du = 1 a tan-1 u a + C 15. 1 1-u 2 du = sin-1 u + C 15a. 1 a 2-u 2 du = sin-1 u a + C 16. 1 u u 2-1 du = sec-1 u + C 16a. 1 u u 2-a 2 du = 1 a sec-1 u a + C...
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