How do you integrate int (1-x^2)/((x+1)(x-6)(x-3)) ∫1−x2(x+1)(x−6)(x−3) using partial fractions?
2 Answers
The answer is
Explanation:
First, simplify
Therefore,
The denominators are the same, compare the numerators
Let
Let
Therefore,
Therefore, the integral is
Explanation:
We use the method of partial fraction in disguise.
Let,
Note that,