Evaluate the definite integrals in Exercises 1 to 20. 1. 1 1 ( 1) x dx 2. 3 2 1 dx x 3. 2 3 2 1 (4 5 6 9) x xxd x 4. 4 0 sin 2x dx 5. 2 0 cos 2x dx 6. 5 4 x e dx 7. 4 0 tan x dx 8. 4 6 cosec x dx 9. 1 0 2 1 dx x 10. 1 2 0 1 dx x 11. 3 2 2 1 dx x 12. 2 2 0 cos x dx 13. 3 2 2 1 x dx x 14. 1 2 0 2 3 5 1 x dx x 15. 1 2 0 x x e dx 16. 2 2 2 1 5 4 3 x x x 17. 4 2 3 0 (2sec 2) x x dx 18. 2 2 0 (sin cos ) 2 2 x x dx 19. 2 2 0 6 3 4 x dx x 20. 1 0 ( sin ) 4 x x x e dx Choose the correct answer in Exercises 21 and 22.
Evaluate the definite integrals in Exercises 1 to 20
Question 1:1 1 ( 1) x dx✁
Question 2:3 2 1 dx x
Question 3:2 3 2 1 (4 – 5 6 9) x xxd x
Question 4:4 0 sin 2x dx
Question 5:2 0 cos 2x dx
Question 6:5 4 x e dx
Question 7:4 0 tan x dx
Question 8:4 6 cosec x dx
Question 9:1 0 2 1 – dx x
Question 10:1 2 0 1 dx x
Question 11:3 2 2 1 dx x
Question 12:2 2 0 cos x dx
Question 13:3 2 2 1 x dx x
Question 14:1 2 0 2 3 5 1 x dx x
Question 15:1 2 0 x x e dx
Question 16:2 2 2 1 5 4 3 x x x
Question 17:4 2 3 0 (2sec 2) x x dx
Question 18:2 2 0 (sin – cos ) 2 2 x x dx ✓ 1
Question 9:2 2 0 6 3 4 x dx x 20. 1 0 ( sin ) 4 x x x e dx ✔ ✕ Choose the correct answer in Exercises 21 and 22 2
Question 1:3 2 1 1 dx x equals (A) 3 ✔ (B) 2 3 ✔ (C) 6 ✔ (D) 12 ✔ 2
Question 2:2 3 2 0 4 9 dx ✖ x ✗ equals (A) 6 ✔ (B) 12 ✔ (C) 24 ✔ (D) 4 ✔