In the following equation/s, find the indefinite integral :- \int \frac{x^{2}}{x-1}dx

Rui Baldwin

Rui Baldwin

Answered question

2021-05-05

In the following equation/s, find the indefinite integral :-
x2x1dx

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-05-06Added 105 answers

Step 1
The given integral is x2x1dx
Evaluate as follows.
Step 2
x2x1dx=(x+1+1x1)dx
=(x)dx+(1)dx(1x1)dx
=x22+x+ln|x1|+C
Thus, x2x1dx=x22+x+ln|x1|+C
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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