Porisma

A hint to get started

Use logarithms after matching or division

Integrate with respect to xx: (a) 12x+7\frac1{2x+7}; (b) x2+2x3+6x\frac{x^2+2}{x^3+6x}; (c) x2x+1\frac{x^2}{x+1}. How do we handle integrals containing improper rational functions?

CJC · Lecture · Example 3

Look for the denominator derivative; rewrite an improper rational function before integrating.

Read the worked solution