x-1-x-dx-

Question Number 5265 by Kasih last updated on 03/May/16

\int \frac{x}{1 + x} d x

Answered by Yozzii last updated on 03/May/16

\frac{x}{1 + x} = 1 - \frac{1}{1 + x} = \frac{1 + x - 1}{1 + x} = \frac{x}{1 + x}

\Rightarrow \int \frac{x}{1 + x} d x = \int (1 - \frac{1}{1 + x}) d x = x - l n ∣ x + 1 ∣ + C

Commented by Kasih last updated on 09/May/16

c a n i t u s e i n t e g r a t i o n b y p a r t s ?

Commented by 1771727373 last updated on 14/May/16

n o y o u c a n t