what is theĀ `int (xdx)/(x+1)`

Asked on by zrm92

1 Answer | Add Yours

sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You need to solve the integral `int (xdx)/(x+1)`

Adding and subtracting 1 to numerator yields:

`int ((x + 1 - 1)dx)/(x+1) = int ((x+1)dx)/(x+1) -int dx/(x+1)`

`int (xdx)/(x+1) =int dx - ln |x+1| + c`

`int (xdx)/(x+1) = x - ln |x+1| + c`

Evaluating the given integral yields: `int (xdx)/(x+1) = x - ln |x+1| + c`

We’ve answered 319,852 questions. We can answer yours, too.

Ask a question