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x^2+x-1
Solving integrals/ x^2+x-1

Integral of x^2+x-1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |  / 2        \   
 |  \x  + x - 1/ dx
 |                 
/                  
0
$$\int\limits_{0}^{1} \left(\left(x^{2} + x\right) - 1\right)\, dx$$ 
Integral(x^2 + x - 1, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. Integrate term-by-term:

      1. The integral of is when :

      1. The integral of is when :

      The result is:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                 
 |                        2        3
 | / 2        \          x        x 
 | \x  + x - 1/ dx = C + -- - x + --
 |                       2        3 
/
$$\int \left(\left(x^{2} + x\right) - 1\right)\, dx = C + \frac{x^{3}}{3} + \frac{x^{2}}{2} - x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1/6
$$- \frac{1}{6}$$ 
=
= 
-1/6
$$- \frac{1}{6}$$ 
-1/6
Numerical answer [src] 
-0.166666666666667
-0.166666666666667
The graph
Integral of x^2+x-1 dx

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

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