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Solving integrals/ 1/(x²-3x-10)

Integral of 1/(x²-3x-10) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |        1         
 |  ------------- dx
 |   2              
 |  x  - 3*x - 10   
 |                  
/                   
0
∫011(x2−3x)−10 dx\int\limits_{0}^{1} \frac{1}{\left(x^{2} - 3 x\right) - 10}\, dx 
Integral(1/(x^2 - 3*x - 10), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                    
 |                                                     
 |       1                log(4 + 2*x)   log(-10 + 2*x)
 | ------------- dx = C - ------------ + --------------
 |  2                          7               7       
 | x  - 3*x - 10                                       
 |                                                     
/
∫1(x2−3x)−10 dx=C+log⁡(2x−10)7−log⁡(2x+4)7\int \frac{1}{\left(x^{2} - 3 x\right) - 10}\, dx = C + \frac{\log{\left(2 x - 10 \right)}}{7} - \frac{\log{\left(2 x + 4 \right)}}{7}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-0.12-0.08
Plot the graph f(x)
The answer [src] 
  log(3)   log(5)   log(2)   log(4)
- ------ - ------ + ------ + ------
    7        7        7        7
−log⁡(5)7−log⁡(3)7+log⁡(2)7+log⁡(4)7- \frac{\log{\left(5 \right)}}{7} - \frac{\log{\left(3 \right)}}{7} + \frac{\log{\left(2 \right)}}{7} + \frac{\log{\left(4 \right)}}{7} 
=
= 
  log(3)   log(5)   log(2)   log(4)
- ------ - ------ + ------ + ------
    7        7        7        7
−log⁡(5)7−log⁡(3)7+log⁡(2)7+log⁡(4)7- \frac{\log{\left(5 \right)}}{7} - \frac{\log{\left(3 \right)}}{7} + \frac{\log{\left(2 \right)}}{7} + \frac{\log{\left(4 \right)}}{7} 
-log(3)/7 - log(5)/7 + log(2)/7 + log(4)/7
Numerical answer [src] 
-0.0898012370603392
-0.0898012370603392

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

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