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x^4-x^2
Solving integrals/ x^4-x^2

Integral of x^4-x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |  / 4    2\   
 |  \x  - x / dx
 |              
/               
0
$$\int\limits_{0}^{1} \left(x^{4} - x^{2}\right)\, dx$$ 
Integral(x^4 - x^2, (x, 0, 1))
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] 
  /                          
 |                     3    5
 | / 4    2\          x    x 
 | \x  - x / dx = C - -- + --
 |                    3    5 
/
$$\int \left(x^{4} - x^{2}\right)\, dx = C + \frac{x^{5}}{5} - \frac{x^{3}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-2/15
$$- \frac{2}{15}$$ 
=
= 
-2/15
$$- \frac{2}{15}$$ 
-2/15
Numerical answer [src] 
-0.133333333333333
-0.133333333333333
The graph
Integral of x^4-x^2 dx

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

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