Mister Exam

Other calculators


/x*sqrt(2x-1)

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                 
  /                 
 |                  
 |      _________   
 |  x*\/ 2*x - 1  dx
 |                  
/                   
0                   
$$\int\limits_{0}^{1} x \sqrt{2 x - 1}\, dx$$
Integral(x*sqrt(2*x - 1*1), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                    
 |                                  3/2             5/2
 |     _________          (-1 + 2*x)      (-1 + 2*x)   
 | x*\/ 2*x - 1  dx = C + ------------- + -------------
 |                              6               10     
/                                                      
$${{\left(2\,x-1\right)^{{{5}\over{2}}}}\over{10}}+{{\left(2\,x-1 \right)^{{{3}\over{2}}}}\over{6}}$$
The graph
The answer [src]
4    I 
-- + --
15   15
$${{i}\over{15}}+{{4}\over{15}}$$
=
=
4    I 
-- + --
15   15
$$\frac{4}{15} + \frac{i}{15}$$
Numerical answer [src]
(0.266466223870893 + 0.066467426584919j)
(0.266466223870893 + 0.066467426584919j)
The graph
Integral of /x*sqrt(2x-1) dx

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