practicekey

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Unformatted text preview: Answers practice integrals (Add + C to all the answers to indefinite integrals) 1. 5 7 x 7 / 5 + 8 3 x 3 / 2 + 7 cos( x ) 2. x 5 15 + 8 ln | x | 3. xe x- e x 4.- ln(2 x ) x- 1 x 5. 1 5 e 5 x 6. 3 x- 3 + 2 ln | x- 3 | 7. 1 4 t 4 ln | t | - t 4 16 8. ( x + 1) arctan( √ x )- √ x 9. 2 √ x- e 10. 5 ln | y + 1 | + 3 arctan( y ) 11.- 1 3 (3 + 2 cos( x )) 3 / 2 12. 1 3 e x 3 13. 2 9 u 9 / 2 + 4 5 u 5 / 2 + 2 √ u 14. 1 4 sin(2 x )- 1 2 x cos(2 x ) 15. te t 16.- e 1 x 17. 3 7 x 7 / 3 + 6 cos( x ) 18. x 6 12- 14 √ x 19. 2 3 20. 1 2 ((ln(16)) 2- (ln(4)) 2 ) 21. 3 2 22. (1 + e x ) ln(1 + e x )- 1- e x 23. ln(1 + x 2 ) + 3 arctan x 24. (sin( x )- 1) e sin( x ) 25. x arctan( x )- 1 2 ln(1 + x 2 ) 26.- √ 1- u 2 27. 2 ln | w + 2 | + ln( w 2 + 6)- 5 √ 6 arctan( w √ 6 ) 28. 2 3 x 3 / 2 ln x- 4 9 x 3 / 2 29.- 1 e x + 2 30. x e 2 +1 e 2 + 1 31. 4 √ y- 1 + 2 3 ( y- 1) 3 / 2 32. ln | x + 6 | + 3 ln | x + 3 | 33....
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