Mister Exam

Other calculators


1/(x+2)

Integral of 1/(x+2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1         
  /         
 |          
 |    1     
 |  ----- dx
 |  x + 2   
 |          
/           
0           
$$\int\limits_{0}^{1} \frac{1}{x + 2}\, dx$$
Integral(1/(x + 2), (x, 0, 1))
Detail solution
  1. Let .

    Then let and substitute :

    1. The integral of is .

    Now substitute back in:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                         
 |                          
 |   1                      
 | ----- dx = C + log(x + 2)
 | x + 2                    
 |                          
/                           
$$\int \frac{1}{x + 2}\, dx = C + \log{\left(x + 2 \right)}$$
The graph
The answer [src]
-log(2) + log(3)
$$- \log{\left(2 \right)} + \log{\left(3 \right)}$$
=
=
-log(2) + log(3)
$$- \log{\left(2 \right)} + \log{\left(3 \right)}$$
-log(2) + log(3)
Numerical answer [src]
0.405465108108164
0.405465108108164
The graph
Integral of 1/(x+2) dx

    Use the examples entering the upper and lower limits of integration.