Integrals
sin 2x 2. cos 3x 3. e2x
(ax + b)2 5. sin 2x - 4 e3x Find the following integrals in Exercises 6 to 20: 6. 3(4 + 1) xe dx∫ 7. 2/2 1(1 - )x dx x∫ 8. 2( )ax bx c dx+ +∫ 9. 2(2 ) xx e dx+∫ 10. 1x - dx x ∫ 11. 3 2 5 4x x - dx x + ∫ 12. 3 3 4x x dx x + + ∫ 13. 3 2 1 x x x - dxx - − + ∫ 14. (1 )- x x dx∫ 15. 2( 3 2 3)x x x dx+ +∫ 16. (2 3cos ) xx - x e dx +∫ 17. 2(2 3sin 5 )x - x x dx +∫ 18. sec (sec tan )x x x dx +∫ 19. 2/2 sec cose c x dx x∫ 20. 2 2 - 3sin cos x x∫ dx. Choose the correct answer in Exercises 21 and 22. 21. The anti derivative of 1x x + equals (A) / 1 1 3 21 2 C3 x x+ + (B) 232 1 C3 2x x+ + (C) 3 1 2 22 2 C3 x x+ + (D) 3 1 2 23 1 C2 2x x+ + 22. If 3/4 3( ) 4d f x xdx x = − such that f (2) = 0. Then f (x) is (A) 4/3 / 1 129 / 8x / x / + − (B) 3/4 / 1 129 / 8x x + + (C) 4 / 1 129 / 8x / x / + + (D) 3/4 / 1 129 / 8x x + −