Find the integration of \frac{1}{x}.

Joseph Krupa

Joseph Krupa

Answered question

2021-12-13

Find the integration of 1x.

Answer & Explanation

censoratojk

censoratojk

Beginner2021-12-14Added 46 answers

ln=1x1tdt for x>0
By the Fundamental Theorem of Calculus:
ddx(ln(x))=1x for x>0
From the Chain Rule:
ddx(ln(x))=1x for x<0
ln|x| covers both cases.

SlabydouluS62

SlabydouluS62

Skilled2021-12-15Added 52 answers

1xdx=ln|x|
=ln|x|+C

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