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x^(3/2)-x^2

Integral of x^(3/2)-x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1               
  /               
 |                
 |  / 3/2    2\   
 |  \x    - x / dx
 |                
/                 
0                 
$$\int\limits_{0}^{1} \left(x^{\frac{3}{2}} - x^{2}\right)\, dx$$
Integral(x^(3/2) - 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      5/2
 | / 3/2    2\          x    2*x   
 | \x    - x / dx = C - -- + ------
 |                      3      5   
/                                  
$${{2\,x^{{{5}\over{2}}}}\over{5}}-{{x^3}\over{3}}$$
The graph
The answer [src]
1/15
$${{1}\over{15}}$$
=
=
1/15
$$\frac{1}{15}$$
Numerical answer [src]
0.0666666666666667
0.0666666666666667
The graph
Integral of x^(3/2)-x^2 dx

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