Consider the integral sin(y)cos(y)+6 dy\displaystyle \int\frac{{-{\sin{{\left({y}\right)}}}}}{{{\cos{{\left({y}\right)}}}+{6}}}\ {\left.{d}{y}\right.}:

a) This can be transformed into a basic integral by letting

u=\displaystyle {u}=   and

du=\displaystyle {d}{u}=  

b) After performing the substitution, you obtain the integral

\displaystyle \int  

c) Once we integrate and substitute, the final answer in terms of y is: