Integrate the functions in Exercises 1 to 23. 1. 2 6 3 1 x x 2. 2 1 1 4 x 3. 2 1 2 1 x 4. 2 1 9 25 x 5. 4 3 1 2 x x 6. 2 6 1 x x 7. 2 1 1 x x 8. 2 6 6 x x a 9. 2 2 sec 10. 2 1 x x 2 2 11. 2 1 9 65 x x 12. 2 1 7 6 xx 13. 1 x x 1 2 14. 2 1 8 3 x x 15. 1 x a xb 16. 2 4 1 2 3 x x x 17. 2 2 1 x x 18. 2 5 2 12 3 x x x 19. 6 7 5 4 x x x 20. 2 2 4 x x x 21. 2 2 2 3 x x x 22. 2 3 2 5 x xx 23. 2 5 3 4 10 x x x . Choose the correct answer in Exercises 24 and 25. 24. 2 equals 2 2 dx x x (A) x tan1 (x + 1) + C (B) tan1 (x + 1) + C (C) (x + 1) t
Question 1:2 6 3 1 x x
Question 2:2 1 1 4 x
Question 3:✓ 2 1 2 1 – x ✔
Question 4:2 1 9 25 – x
Question 5:4 3 1 2 x x
Question 6:2 6 1 x ✕ x
Question 7:2 1 1 x – x –
Question 8:2 6 6 x x a
Question 9:2 2 sec
Question 10:2 1 x x 2 2
Question 11:2 1 9 65 x x
Question 12:2 1 7 6 – x–x
Question 13:1 x – x– 1 2
Question 14:2 1 8 3 x – x
Question 15: 1 x –a x–b
Question 16:2 4 1 2 3 x x x –
Question 17:2 2 1 x x –
Question 18:2 5 2 12 3 x x x
Question 19: 6 7 5 4 x x – x–
Question 20:2 2 4 x x – x
Question 21:2 2 2 3 x x x
Question 22:2 3 2 5 x x–x
Question 23:2 5 3 4 10 x x x . Choose the correct answer in Exercises 24 and 25
Question 24:2 equals 2 2 dx x x (A) x tan–1 (x + 1) + C (B) tan–1 (x + 1) + C (C) (x + 1) tan–1x + C (D) tan–1x + C
Question 25:2 equals 9 4 dx x x (A) 1 98 –1 sin C 9 8 x (B) 1 89 –1 sin C 2 9 x (C) 1 98 –1 sin C 3 8 ✔ x ✓ ✕ ✖ ✗ ✘ ✚ (D) 1 98 –1 sin C 2 9