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x½
Solving integrals/ x½

Integral of x½ dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |  x*1/2 dx
 |          
/           
0
$$\int\limits_{0}^{1} x \frac{1}{2}\, dx$$ 
Integral(x*(1/2), (x, 0, 1))
Detail solution

  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:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                2
 |                x 
 | x*1/2 dx = C + --
 |                4 
/
$${{x^2}\over{4}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/4
$${{1}\over{4}}$$ 
=
= 
1/4
$$\frac{1}{4}$$
Simplify
Numerical answer [src] 
0.25
0.25
The graph
Integral of x½ dx

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

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