Mister Exam

Other calculators

Solving integrals/ 1/(x*x+2x)

Integral of 1/(x*x+2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo             
  /             
 |              
 |      1       
 |  --------- dx
 |  x*x + 2*x   
 |              
/               
0
$$\int\limits_{0}^{\infty} \frac{1}{x x + 2 x}\, dx$$ 
Integral(1/(x*x + 2*x), (x, 0, oo))
The answer (Indefinite) [src] 
  /                                      
 |                                       
 |     1              log(x)   log(2 + x)
 | --------- dx = C + ------ - ----------
 | x*x + 2*x            2          2     
 |                                       
/
$$\int \frac{1}{x x + 2 x}\, dx = C + \frac{\log{\left(x \right)}}{2} - \frac{\log{\left(x + 2 \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo

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

    © Mister Exam – Calculator