What is the integrate of x^2/(x-1)^3 ?
2 Answers
Explanation:
Part 1
Decompose
Where A, B and C are just numbers
So to solve, just merge those fractions
Rearranging
By comparing coefficients, you can tell that
Solving, you get
Hence
Part 2
Substituting this back into the integral, you get
Using the reverse power rule
Hence
You can further simplify this to be
P.S. Please classify this question as "Calculus", you are currently marking it as "algebra"
Explanation:
Have a look at this Second Solution :
Let,
We subst.
e52fa787 has already derived!