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Use the table of integrals to evaluate the integral. T cos (0) de

Use the table of integrals to evaluate the integral. T cos (0) de

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Basic Forms 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. S 21. Su de = uv - S v du 22. 23. S 24. u" du = Seu du S u fb" du = e" du = e" + C S co I se 25. n+1 = In u + C sin u du = -cos u + C Sv b" cos u du = sin u + C Forms Involving √a² + u², a>0 4 √a² + u² + S S In b sec²u du = tan u + C csc²u du = −cot u + C S I se sec u tan u du = sec u + C + C + C, n-1 U √a² + u² du = a² + u² aª S u² √a² + u² du = = (a² + 2u²) √a² + u² − 8 √a² + u² u² du du = du = u 2 2 a² + u²a ln √a² + u² u In(u + √a² + u²) + C a + √a² + u² u + In(u + In(u + √a² + ²) + C + C 11. √a² + u²) + C 12. 13. 15. S tan u du = ln | sec u + C 16. 17. 14. S sec u du = ln | sec u + tan u + C So csc u cot u du = -csc u + C 18. S 20. 19. cot u du = ln | sin u + C S csc u du = ln csc u cot u + C S S du √a² u² du a² + u² a ST² du In(u + √a² + u²) + C u du 1 u√/u² a² a du u² - a² = u = sin + C, a>0 a = 1 = a tan = 1 2a 1 2a In -1 - In U a sec + C u a u + a u-a u-a u + a + C + C + C
Transcribed Image Text:Basic Forms 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. S 21. Su de = uv - S v du 22. 23. S 24. u" du = Seu du S u fb" du = e" du = e" + C S co I se 25. n+1 = In u + C sin u du = -cos u + C Sv b" cos u du = sin u + C Forms Involving √a² + u², a>0 4 √a² + u² + S S In b sec²u du = tan u + C csc²u du = −cot u + C S I se sec u tan u du = sec u + C + C + C, n-1 U √a² + u² du = a² + u² aª S u² √a² + u² du = = (a² + 2u²) √a² + u² − 8 √a² + u² u² du du = du = u 2 2 a² + u²a ln √a² + u² u In(u + √a² + u²) + C a + √a² + u² u + In(u + In(u + √a² + ²) + C + C 11. √a² + u²) + C 12. 13. 15. S tan u du = ln | sec u + C 16. 17. 14. S sec u du = ln | sec u + tan u + C So csc u cot u du = -csc u + C 18. S 20. 19. cot u du = ln | sin u + C S csc u du = ln csc u cot u + C S S du √a² u² du a² + u² a ST² du In(u + √a² + u²) + C u du 1 u√/u² a² a du u² - a² = u = sin + C, a>0 a = 1 = a tan = 1 2a 1 2a In -1 - In U a sec + C u a u + a u-a u-a u + a + C + C + C
Use the table of integrals to evaluate the integral. J." cos(0) de
Transcribed Image Text:Use the table of integrals to evaluate the integral. J." cos(0) de
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