Mister Exam

Other calculators


x*(x-2)^1/2

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  3               
  /               
 |                
 |      _______   
 |  x*\/ x - 2  dx
 |                
/                 
2                 
$$\int\limits_{2}^{3} x \sqrt{x - 2}\, dx$$
Integral(x*sqrt(x - 1*2), (x, 2, 3))
The answer (Indefinite) [src]
  /                                                  
 |                                5/2             3/2
 |     _______          2*(-2 + x)      4*(-2 + x)   
 | x*\/ x - 2  dx = C + ------------- + -------------
 |                            5               3      
/                                                    
$${{2\,\left(x-2\right)^{{{5}\over{2}}}}\over{5}}+{{4\,\left(x-2 \right)^{{{3}\over{2}}}}\over{3}}$$
The graph
The answer [src]
26
--
15
$${{26}\over{15}}$$
=
=
26
--
15
$$\frac{26}{15}$$
Numerical answer [src]
1.73333333333333
1.73333333333333
The graph
Integral of x*(x-2)^1/2 dx

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