Final Answer:
1. $\frac{8}{9}x^{9/2} + C$
2. $\frac{3}{8}y^8 + y^6 + C$
3. $\frac{a}{3}x^3 + \frac{b}{2}x^2 + cx + C$
4. $\frac{3}{4}x^{4/3} - 3x^{1/3} + C$
5. $\frac{2}{7}y^{7/2} - \frac{4}{5}y^{5/2} + C$
6. $\frac{2}{3}x^{3/2} + 8x^{1/2} - 6x^{-1/2} + C$
7. $-\frac{3}{x^3} - 4\ln|x| + 8x + C$
8. $\frac{1}{4}x^4 - 4\ln|x| + C$
9. $2t^{3/2} + 5t^{1/4} + C$
10. $\frac{2}{5}(4y - 9)^{5/2} + C$
11. $\frac{5}{6}\ln|6y - 1| + C$
12. $\frac{2}{15}(7s^5 + 4)^{3/2} + C$
13. $\frac{2}{3}(3 + s(s+1)^2)^{3/2} + C$
14. $\frac{2}{7}(x^2 + 2)^{7/2} + C$
15. $-\sqrt{1 - 2t^2} + C$
16. $\frac{1}{12}(r^2/12 - 4)^6 + C$
17. $-\frac{1}{5(2 - 5x^3)} + C$
18. $\ln|x^3 + 3x^2 + 1| + C$
19. $-\frac{1}{3}(3 - x + 2x^2)^{3/2} + C$
20. $-\frac{1}{4(2 + \cos 4x)} + C$
21. $-\frac{1}{27}(1 - \cot 3x)^9 + C$
22. $\frac{3}{5}(\sqrt[3]{r} + 2)^{5/3} + C$
23. $-\frac{1}{6}(4 - 2x^2 - x^4)^{3/2} + C$
24. $2\sqrt{x + 4} - 4\ln|\sqrt{x + 4} + 2| + C$
25. $-\sqrt{\frac{1}{t} - 1} + C$
26. $-\frac{1}{3}(3 - 2x)^{3/2} + C$
27. $2\sqrt{x} + \frac{12}{5}x^{5/2} + \frac{15}{4}x^2 + \frac{20}{3}x^{3/2} + 15x + C$
28. $\frac{1}{10}(2r^2 + 1)^5 + C$
29. $\frac{1}{4}\sin^4 3y + C$
30. $-\ln|\cos y| + C$
Parent Tip: Review the logic above to help your child master the concept of antiderivative worksheet.
