To evaluate the indefinite integral $\displaystyle \int\frac{{{6}{x}+{7}}}{{{x}+{5}}}{\left.{d}{x}\right.}$, first do long division.

Divide $\displaystyle {6}{x}+{7}$ by $\displaystyle {x}+{5}$ to obtain a quotient of and a remainder of .

Then $\displaystyle \int\frac{{{6}{x}+{7}}}{{{x}+{5}}}{\left.{d}{x}\right.}$ = + C    Preview Question 6 Part 3 of 3