Question

State true or false.
$\int \frac{dx}{x+1}=\log |x+1|+c$

• A. True
• B. False

Answer 1

The correct option is A True

$\int \frac{dx}{x+1}$

Let $t=x+1\Rightarrow dt=dx$

$=\int \frac{dt}{t}$

$=\log \left|t\right|+c$

$=\log |x+1|+c$