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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                
  /                
 |                 
 |      7*x        
 |  ------------ dx
 |   2             
 |  x  + 2*x + 1   
 |                 
/                  
0                  
$$\int\limits_{0}^{1} \frac{7 x}{\left(x^{2} + 2 x\right) + 1}\, dx$$
Integral((7*x)/(x^2 + 2*x + 1), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                 
 |                                    /     2      \
 |     7*x                 7     7*log\1 + x  + 2*x/
 | ------------ dx = C + ----- + -------------------
 |  2                    1 + x            2         
 | x  + 2*x + 1                                     
 |                                                  
/                                                   
$$\int \frac{7 x}{\left(x^{2} + 2 x\right) + 1}\, dx = C + \frac{7 \log{\left(x^{2} + 2 x + 1 \right)}}{2} + \frac{7}{x + 1}$$
The graph
The answer [src]
-7/2 + 7*log(2)
$$- \frac{7}{2} + 7 \log{\left(2 \right)}$$
=
=
-7/2 + 7*log(2)
$$- \frac{7}{2} + 7 \log{\left(2 \right)}$$
-7/2 + 7*log(2)
Numerical answer [src]
1.35203026391962
1.35203026391962

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