SUPPLEMENTARY-EXERCISES-ON-TECHNIQUES-OF-INTEGRATION-MATH-27-AY-201920.pdf - MATH 27 UPLB 1ST SEM\/2019-20 1 SUPPLEMENTARY EXERCISES ON TECHNIQUES OF

SUPPLEMENTARY-EXERCISES-ON-TECHNIQUES-OF-INTEGRATION-MATH-27-AY-201920.pdf

This preview shows page 1 - 3 out of 4 pages.

MATH 27 UPLB 1ST SEM/2019-20 1 SUPPLEMENTARY EXERCISES ON TECHNIQUES OF INTEGRATION Integration by Parts 1. dx xe x 3 2. dx e x x 3 2 3. dx x x 4 sin 4. dx x x 4 sin 2 5. dx x x x 2 cot 2 csc 6. dx x x 5 7. dx x 3 ln 8. dx x Arc cos 9. xdx x 2 csc 2 10. xdx xArc tan 11. ( ) + dx x 1 ln 2 12. dx x e x cos 3 13. dx e x x 2 5 14. dx e x x 2 sin 15. dx x cos 16. dx x Arc tan Powers of Trigonometric Function (Use even powers of sin and cos, IBP, and Unit 1 s basic substitution and use of identities) 1. dx x sin cos 4 2. dx x x 2 cos 2 sin 3 3. dx x x sin cos 5 4. dx x x 3 cos 3 sin 6 5. dx x 3 cos 6. dx x 2 sin 2 7. dx x x 3 3 cos sin 8. dx x 2 cot 9. dx e e x x 2 tan 10. dx x 2 tan 2 11. dx x 6 cot 12. dx x 2 sec 3 13. dx x 5 csc 14. dx x 4 sec 15. ( ) dx x x ln sec 6 16. dx x x 4 6 csc cot