\[\int f'(x) f(x)^k dx \]

\[\int cos(x) sin² (x) dx \]

\[\int sin(x) cos² (x) dx \]

\[\int a e^{ax} dx \]

\[\int \frac{[ln(x)]^a}{x} dx \]

\[\int \frac{tg^2(x)}{cos^2(x)} dx \]

\[\int f'(x) f(x) e^{\frac {f^2(x)}{2}} dx \]

\[\int cos(x) e^{sin(x)}dx \]

\[\int x e^{\frac {x^2}{2}} dx \]

\[\int \frac{tg^2(x)}{cos^2(x)} e^{\frac {tg^3(x)}{3}} dx \]