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Solving integrals/ 1/(x^2+4x-7)

Integral of 1/(x^2+4x-7) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo                
  /                
 |                 
 |       1         
 |  ------------ dx
 |   2             
 |  x  + 4*x - 7   
 |                 
/                  
2
$$\int\limits_{2}^{\infty} \frac{1}{\left(x^{2} + 4 x\right) - 7}\, dx$$ 
Integral(1/(x^2 + 4*x - 7), (x, 2, oo))
The graph
Plot the graph f(x)
The answer [src] 
    ____    /      ____\     ____    /      ____\
  \/ 11 *log\4 - \/ 11 /   \/ 11 *log\4 + \/ 11 /
- ---------------------- + ----------------------
            22                       22
$$- \frac{\sqrt{11} \log{\left(4 - \sqrt{11} \right)}}{22} + \frac{\sqrt{11} \log{\left(\sqrt{11} + 4 \right)}}{22}$$ 
=
= 
    ____    /      ____\     ____    /      ____\
  \/ 11 *log\4 - \/ 11 /   \/ 11 *log\4 + \/ 11 /
- ---------------------- + ----------------------
            22                       22
$$- \frac{\sqrt{11} \log{\left(4 - \sqrt{11} \right)}}{22} + \frac{\sqrt{11} \log{\left(\sqrt{11} + 4 \right)}}{22}$$ 
-sqrt(11)*log(4 - sqrt(11))/22 + sqrt(11)*log(4 + sqrt(11))/22

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

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