Compute
\int (3x+8)/(x^(2)+81)dx
Hint: this integral is the same as
\int (2x)/(x^(2)+81)dx+,\int (1)/(x^(2)+81)dx
and the formula for this is in your formula, as it is already included in the response) Now using the same idea, compute
\int (14x+10)/(x^(2)+4)dx
+C