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x^3+2x
Solving integrals/ x^3+2x

Integral of x^3+2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2              
  /              
 |               
 |  / 3      \   
 |  \x  + 2*x/ dx
 |               
/                
-2
$$\int\limits_{-2}^{2} \left(x^{3} + 2 x\right)\, dx$$ 
Integral(x^3 + 2*x, (x, -2, 2))
Detail solution

  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:

  2. Add the constant of integration:

The answer is:

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

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

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