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Solving integrals/ 1/(x^2-2x-3)

Integral of 1/(x^2-2x-3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3                
  /                
 |                 
 |       1         
 |  ------------ dx
 |   2             
 |  x  - 2*x - 3   
 |                 
/                  
0
$$\int\limits_{0}^{3} \frac{1}{\left(x^{2} - 2 x\right) - 3}\, dx$$ 
Integral(1/(x^2 - 2*x - 3), (x, 0, 3))
The answer (Indefinite) [src] 
  /                                              
 |                                               
 |      1                log(1 + x)   log(-3 + x)
 | ------------ dx = C - ---------- + -----------
 |  2                        4             4     
 | x  - 2*x - 3                                  
 |                                               
/
$$\int \frac{1}{\left(x^{2} - 2 x\right) - 3}\, dx = C + \frac{\log{\left(x - 3 \right)}}{4} - \frac{\log{\left(x + 1 \right)}}{4}$$
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] 
-11.3691316136231
-11.3691316136231

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

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