How to integrate 1/(x^2+x) dx?

Stricker42o2

Stricker42o2

Answered question

2023-02-17

How to integrate 1 x 2 + x d x ?

Answer & Explanation

Karli Foley

Karli Foley

Beginner2023-02-18Added 4 answers

Let I = 1 x 2 + x d x
I = 1 x ( x + 1 ) d x
= ( x + 1 ) - x x ( x + 1 ) d x
= { x + 1 x ( x + 1 ) - x x ( x + 1 ) } d x
= { 1 x - 1 x + 1 } d x
= ln | x | - ln | x + 1 |
= ln | x x + 1 | + C

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