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x/(x^2+2*x-3)
Solving integrals/ x/(x^2+2*x-3)

Integral of x/(x^2+2*x-3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |       x         
 |  ------------ dx
 |   2             
 |  x  + 2*x - 3   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{x}{\left(x^{2} + 2 x\right) - 3}\, dx$$ 
Integral(x/(x^2 + 2*x - 3), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                   
 |                          /      2      \                           
 |      x                log\-3 + x  + 2*x/   log(-1 + x)   log(3 + x)
 | ------------ dx = C + ------------------ - ----------- + ----------
 |  2                            2                 4            4     
 | x  + 2*x - 3                                                       
 |                                                                    
/
$$\int \frac{x}{\left(x^{2} + 2 x\right) - 3}\, dx = C - \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 3 \right)}}{4} + \frac{\log{\left(x^{2} + 2 x - 3 \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      pi*I
-oo - ----
       4
$$-\infty - \frac{i \pi}{4}$$ 
=
= 
      pi*I
-oo - ----
       4
$$-\infty - \frac{i \pi}{4}$$ 
-oo - pi*i/4
Numerical answer [src] 
-10.8069776422154
-10.8069776422154
The graph
Integral of x/(x^2+2*x-3) dx

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

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