Mister Exam

Other calculators

Integral of x^(1/2)*(x-1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                 
  /                 
 |                  
 |    ___           
 |  \/ x *(x - 1) dx
 |                  
/                   
0                   
$$\int\limits_{0}^{1} \sqrt{x} \left(x - 1\right)\, dx$$
Integral(sqrt(x)*(x - 1), (x, 0, 1))
The answer (Indefinite) [src]
  /                                      
 |                           3/2      5/2
 |   ___                  2*x      2*x   
 | \/ x *(x - 1) dx = C - ------ + ------
 |                          3        5   
/                                        
$$\int \sqrt{x} \left(x - 1\right)\, dx = C + \frac{2 x^{\frac{5}{2}}}{5} - \frac{2 x^{\frac{3}{2}}}{3}$$
The graph
The answer [src]
-4/15
$$- \frac{4}{15}$$
=
=
-4/15
$$- \frac{4}{15}$$
-4/15
Numerical answer [src]
-0.266666666666667
-0.266666666666667

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