$$\int\frac{\frac{11}{10}}{(2x+2)}dx$$
$$\frac{11}{10}\int \frac{dx}{(2x+2)}$$
$$t=2x+2$$
$$dt=2dx$$
$$dx=\frac{dt}{2}$$
$$\frac{11}{10}\int\frac{1}{t}\frac{dt}{2}$$
$$\frac{11}{20}\int\frac{1}{t}dt$$
$$\frac{11}{20}\ln|t|+C$$
$$\frac{11}{20}\ln|2x+2|+C$$
what is wrong?