Final Answer:
1. $-\cot x - \tan x + C$
2. $\frac{5}{7} \ln|7x - 5| + C$
3. $-\ln|1 - \tan^2 x| + C$
4. $-\frac{1}{4x^4} + \frac{2}{3x^3} - \frac{1}{x} + C$
5. $-\frac{1}{2} \cos 2x + C$
6. $2\sqrt{\sin x} + C$
7. $\ln|1 - \cot x| + C$
8. $\frac{1}{3} \sin 3x + C$
9. $\frac{1}{a} \arctan\left(\frac{a \tan x}{b}\right) + C$
10. $-\frac{1}{6} \ln|\cos 6x| + C$
11. $-\frac{1}{a} \ln|\csc(a - x) + \cot(a - x)| + C$
12. $-\frac{1}{4} \cos^4 x + C$
13. $\frac{1}{2} \theta + \frac{1}{4} \sin 2\theta + C$
14. $-\frac{1}{6} \ln|1 - 6x - 9x^2| + C$
15. $\frac{1}{2} \ln|\sec^2 x - 12 \tan x + 14| + C$
Parent Tip: Review the logic above to help your child master the concept of integration worksheet.
