This worksheet provides 20 practice problems for mastering indefinite integrals, covering a range of functions from basic polynomials to trigonometric expressions.

Final Answer:
1. $-\cos x + C$
2. $\frac{x^6}{6} + C$
3. $\frac{7}{2}x^2 + C$
4. $\frac{x^5}{5} - 2x^2 + 7x + C$
5. $\frac{2}{3}x^{3/2} - \frac{2}{5}x^{5/2} + C$
6. $\frac{2}{3}x^{3/2} - \frac{2}{5}x^{5/2} + \frac{2}{7}x^{7/2} + C$
7. $\frac{x^8}{8} - \frac{1}{7}x^7 + C$
8. $\frac{a^2}{2}x^2 + \frac{b^3}{3}x^3 + C$
9. $\frac{2\sqrt{x}}{3} + \frac{2}{\sqrt{x}} + C$
10. $\frac{x^3}{3} + x^2 + x + C$
11. $-\frac{2}{3}\cos^3 x + C$
12. $\frac{1}{2}\ln|x^2 + 1| + C$
13. $\frac{7}{\ln 5} \cdot 5^x + C$
14. $\frac{2}{3}(x+5)^{3/2} + C$
15. $-6\ln|1-x| + C$
16. $-\frac{1}{2}e^{-2x} + C$
17. $\frac{1}{2}\sin(2\theta) + C$
18. $\sin\theta - \cos\theta + C$
19. $\frac{1}{2}\sin^2 x + C$
20. $x - \frac{x^3}{3} + C$