How do you use partial fractions to find the integral #int (x^2+x+3)/(x^4+6x^2+9)dx#?
2 Answers
See the answer below:
Explanation:
Noticing that the denominator is a perfect square, we see there is no need to use partial fractions.
The first term is a standard integral of the form
The second term is of the form where the the numerator is the derivative of the contents of the brackets in the denominator, save for a factor of
In general,