Find the indefinite integral. \int \frac{x^{2}-3x+2}{x+1}dx

Caelan

Caelan

Answered question

2021-10-25

Find the indefinite integral.
x23x+2x+1dx

Answer & Explanation

ottcomn

ottcomn

Skilled2021-10-26Added 97 answers

Step 1
We have to evaluate the following integral:
x23x+2x+1dx
Step 2
Then we get,
x23x+2x+1dx
=(x2+x4x4+6x+1)dx
=x(x+1)x+1dx4(x+1)x+1dx+6dxx+1
=xdx4dx+6dxx+1
=x224x+6ln|x+1|+C
where C is the constant of integration.

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