Mister Exam

Integral of x^log2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

The answer (Indefinite) [src]
  /                     /            
 |                     |             
 |  log(2*x)           |  log(2*x)   
 | x         dx = C +  | x         dx
 |                     |             
/                     /              
$$\int x^{\log{\left(2 x \right)}}\, dx = C + \int x^{\log{\left(2 x \right)}}\, dx$$
The answer [src]
  2             
  /             
 |              
 |   log(2*x)   
 |  x         dx
 |              
/               
1               
$$\int\limits_{1}^{2} x^{\log{\left(2 x \right)}}\, dx$$
=
=
  2             
  /             
 |              
 |   log(2*x)   
 |  x         dx
 |              
/               
1               
$$\int\limits_{1}^{2} x^{\log{\left(2 x \right)}}\, dx$$
Integral(x^log(2*x), (x, 1, 2))
Numerical answer [src]
1.64222184484708
1.64222184484708

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