Mister Exam

Other calculators

1/(x^2+3x+2)
Solving integrals/ 1/(x^2+3x+2)

Integral of 1/(x^2+3x+2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |       1         
 |  ------------ dx
 |   2             
 |  x  + 3*x + 2   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{1}{\left(x^{2} + 3 x\right) + 2}\, dx$$ 
Integral(1/(x^2 + 3*x + 2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                 
 |                                                  
 |      1                                           
 | ------------ dx = C - log(4 + 2*x) + log(2 + 2*x)
 |  2                                               
 | x  + 3*x + 2                                     
 |                                                  
/
$$\int \frac{1}{\left(x^{2} + 3 x\right) + 2}\, dx = C + \log{\left(2 x + 2 \right)} - \log{\left(2 x + 4 \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-log(3) + 2*log(2)
$$- \log{\left(3 \right)} + 2 \log{\left(2 \right)}$$ 
=
= 
-log(3) + 2*log(2)
$$- \log{\left(3 \right)} + 2 \log{\left(2 \right)}$$ 
-log(3) + 2*log(2)
Numerical answer [src] 
0.287682072451781
0.287682072451781
The graph
Integral of 1/(x^2+3x+2) dx

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

    © Mister Exam – Calculator