Problem $1$

Evaluate the definite integral:

${\displaystyle \underset{\frac{}{6}}{\overset{\frac{}{2}}{}}}-\frac{cosx}{(sinx{)}^2}dx$

Problem $2$

Evaluate the integral:

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}18x^{2}ln(x^2)dx$

Problem $3$

Evaluate the integral:

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{2x^2-17x+6}{x(x-3)(x-2)}dx$