Đề bài

Tìm:

a) $\int {\left( {5\sin x - 6\cos x} \right)dx}$;

b) $\int {{{\sin }^2}2{\rm{x}}dx}  + \int {{{\cos }^2}2{\rm{x}}dx}$;

c) $\int {{{\sin }^2}\frac{x}{2}dx}$;

d) $\int {{{\left( {\sin \frac{x}{2} + \cos \frac{x}{2}} \right)}^2}dx}$;

e) $\int {{{\cos }^4}\frac{x}{2}dx}  - \int {{{\sin }^4}\frac{x}{2}dx}$;

g) $\int {{{\tan }^2}xdx}$.