What is the antiderivative of $(x+2)/(x+1) dx$ ?

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Answer 1 · 2016-03-27T13:37:04

Antiderivative is $int((x+2)/(x+1))dx=x+ln(x+1)+C$

Antiderivative is the same as finding the indefinite integral of a given differential

$int ((x+2)/(x+1))dx=int((x+1+1)/(x+1))dx=int((x+1)/(x+1)+1/(x+1))dx$

$int ((x+2)/(x+1))dx=int((x+1)/(x+1))dx+int(1/(x+1))dx$

$int ((x+2)/(x+1))dx=int dx+int(1/(x+1))dx$

$int ((x+2)/(x+1))dx=x+ln (x+1)+C$

God bless....I hope the explanation is useful.

What is the antiderivative of (x+2)/(x+1) dx(x+2)/(x+1) dx?