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Integral of x(inx)^2/1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 oo             
  /             
 |              
 |       2      
 |  x*log (x)   
 |  --------- dx
 |      1       
 |              
/               
E               
$$\int\limits_{e}^{\infty} \frac{x \log{\left(x \right)}^{2}}{1}\, dx$$
Integral((x*log(x)^2)/1, (x, E, oo))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                              
 |                                               
 |      2              2    2    2       2       
 | x*log (x)          x    x *log (x)   x *log(x)
 | --------- dx = C + -- + ---------- - ---------
 |     1              4        2            2    
 |                                               
/                                                
$$\int \frac{x \log{\left(x \right)}^{2}}{1}\, dx = C + \frac{x^{2} \log{\left(x \right)}^{2}}{2} - \frac{x^{2} \log{\left(x \right)}}{2} + \frac{x^{2}}{4}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo

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