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x^2+4x-1

Integral of x^2+4x-1 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

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  1                  
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 |  / 2          \   
 |  \x  + 4*x - 1/ dx
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$$\int\limits_{0}^{1} \left(\left(x^{2} + 4 x\right) - 1\right)\, dx$$
Integral(x^2 + 4*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 a constant times a function is the constant times the integral of the function:

        1. The integral of is when :

        So, the result is:

      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]
  /                                     
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 | / 2          \                 2   x 
 | \x  + 4*x - 1/ dx = C - x + 2*x  + --
 |                                    3 
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$$\int \left(\left(x^{2} + 4 x\right) - 1\right)\, dx = C + \frac{x^{3}}{3} + 2 x^{2} - x$$
The graph
The answer [src]
4/3
$$\frac{4}{3}$$
=
=
4/3
$$\frac{4}{3}$$
4/3
Numerical answer [src]
1.33333333333333
1.33333333333333
The graph
Integral of x^2+4x-1 dx

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