Mister Exam

Integral of 2sqrt(x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |      ___   
 |  2*\/ x  dx
 |            
/             
0             
$$\int\limits_{0}^{1} 2 \sqrt{x}\, dx$$
Integral(2*sqrt(x), (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]
  /                       
 |                     3/2
 |     ___          4*x   
 | 2*\/ x  dx = C + ------
 |                    3   
/                         
$$\int 2 \sqrt{x}\, dx = C + \frac{4 x^{\frac{3}{2}}}{3}$$
The graph
The answer [src]
4/3
$$\frac{4}{3}$$
=
=
4/3
$$\frac{4}{3}$$
4/3
Numerical answer [src]
1.33333333333333
1.33333333333333
The graph
Integral of 2sqrt(x) dx

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