Let S be the integration symbol

1. S (dx)/ (x. sec ^3 (ln (x)) dx

2. S (x^3)/(sqrt (x^2 -4 )) dx

3. S (2sec x)/(sin x + cos x) dx

4. S sqrt (sqrt (x) -1) dx

5. S sec^3 (x). tan^3 (x) dx

6. S sin (5x)*cos (7x) dx

7. S (e^(x) -3)/(e^(x) +2) dx

8. S (sec^4 (x))/(tan^2 (x)) dx

9. S (sin 2x)/(1 + 3sin^2 (x))^3 dx

Sorry for the many questions, but I wanna make sure of everything related to Integration before my Exam the next Thursday.

Thanks in Advance !!