71

6. (t/2) sin(t^2) + C

9. (-1/2) e^(-x^2) + C

10. (1/9)((y^2 + 5)^9) + C

12. (1/3)x^3 + (2/3)x^6 + (1/3)^12 + C

15. y^4 + 2y^3 + y+2 + C

20. (1/3)e^(x^3 + 1) * 3x^2 + C

21. -(1/8) (cos(*theta) + 5)^8 + C

24. (1/4) (sin^4*alpha) + C

25. (1/35) (sin^7*5*theta) + C

27. (1/3)((ln(z))^3) + C

30. -2 (sin(x^(1/2))) + C

33. ln(2 + e^x) + C

39. sinh(x) + C

40. -cosh(3t) + C

42. sinh(w(w+1)) + C

45. (1/4)pi(t^4) + 2t^2 + C

You have a number of errors in your answers. You should always check by taking the derivative of your result. If you do, you won't always get the original expression (e.g., by the product rule #6 and #20 yield expressions with more than 1 term, which alone makes them inconsistent with the expressions that were to be integrated).

You should run the query program for the assignments related to 6.3 and beyond, and submit the SEND files.