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1/(4x²+4x+1)
Solving integrals/ 1/(4x²+4x+1)

Integral of 1/(4x²+4x+1) 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             
 |  4*x  + 4*x + 1   
 |                   
/                    
0
∫011(4x2+4x)+1 dx\int\limits_{0}^{1} \frac{1}{\left(4 x^{2} + 4 x\right) + 1}\, dx 
Integral(1/(4*x^2 + 4*x + 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                   
 |                                    
 |       1                      1     
 | -------------- dx = C - -----------
 |    2                    4*(1/2 + x)
 | 4*x  + 4*x + 1                     
 |                                    
/
∫1(4x2+4x)+1 dx=C−14(x+12)\int \frac{1}{\left(4 x^{2} + 4 x\right) + 1}\, dx = C - \frac{1}{4 \left(x + \frac{1}{2}\right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.902-2
Plot the graph f(x)
The answer [src] 
1/3
13\frac{1}{3} 
=
= 
1/3
13\frac{1}{3} 
1/3
Numerical answer [src] 
0.333333333333333
0.333333333333333
The graph
Integral of 1/(4x²+4x+1) dx

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

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