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x^4-x^5
Solving integrals/ x^4-x^5

Integral of x^4-x^5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |  / 4    5\   
 |  \x  - x / dx
 |              
/               
0
$$\int\limits_{0}^{1} \left(- x^{5} + x^{4}\right)\, dx$$ 
Integral(x^4 - x^5, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    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:

    1. The integral of is when :

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                          
 |                     6    5
 | / 4    5\          x    x 
 | \x  - x / dx = C - -- + --
 |                    6    5 
/
$$\int \left(- x^{5} + x^{4}\right)\, dx = C - \frac{x^{6}}{6} + \frac{x^{5}}{5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/30
$$\frac{1}{30}$$ 
=
= 
1/30
$$\frac{1}{30}$$ 
1/30
Numerical answer [src] 
0.0333333333333333
0.0333333333333333
The graph
Integral of x^4-x^5 dx

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

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