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Identical expressions
(x²+ twelve)/((x²)(x²- four))
(x² plus 12) divide by ((x²)(x² minus 4))
(x² plus twelve) divide by ((x²)(x² minus four))
x²+12/x²x²-4
(x²+12) divide by ((x²)(x²-4))
(x²+12)/((x²)(x²-4))dx
Similar expressions
(x²-12)/((x²)(x²-4))
(x²+12)/((x²)(x²+4))

Solving integrals/ (x²+12)/((x²)(x²-4))

Integral of (x²+12)/((x²)(x²-4)) dx

The solution

You have entered [src]

  1               
  /               
 |                
 |     2          
 |    x  + 12     
 |  ----------- dx
 |   2 / 2    \   
 |  x *\x  - 4/   
 |                
/                 
0

$$\int\limits_{0}^{1} \frac{x^{2} + 12}{x^{2} \left(x^{2} - 4\right)}\, dx$$

Integral((x^2 + 12)/((x^2*(x^2 - 4))), (x, 0, 1))

The answer (Indefinite) [src]

  /                                                 
 |                                                  
 |    2                                             
 |   x  + 12                         3              
 | ----------- dx = C - log(2 + x) + - + log(-2 + x)
 |  2 / 2    \                       x              
 | x *\x  - 4/                                      
 |                                                  
/

$$\int \frac{x^{2} + 12}{x^{2} \left(x^{2} - 4\right)}\, dx = C + \log{\left(x - 2 \right)} - \log{\left(x + 2 \right)} + \frac{3}{x}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-oo + pi*I

$$-\infty + i \pi$$

-oo + pi*I

$$-\infty + i \pi$$

-oo + pi*i

Numerical answer [src]

-4.13797103384579e+19

-4.13797103384579e+19

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

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Identical expressions

Similar expressions

Integral of (x²+12)/((x²)(x²-4)) dx

Limits of integration:

The graph:

Piecewise:

The solution