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Solving integrals/ sqrtx*ln8x

Integral of sqrtx*ln8x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |    ___            
 |  \/ x *log(8*x) dx
 |                   
/                    
0
$$\int\limits_{0}^{1} \sqrt{x} \log{\left(8 x \right)}\, dx$$ 
Integral(sqrt(x)*log(8*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                              
 |                            3/2                      3/2       
 |   ___                   4*x         3/2          2*x   *log(x)
 | \/ x *log(8*x) dx = C - ------ + 2*x   *log(2) + -------------
 |                           9                            3      
/
$$\int \sqrt{x} \log{\left(8 x \right)}\, dx = C + \frac{2 x^{\frac{3}{2}} \log{\left(x \right)}}{3} - \frac{4 x^{\frac{3}{2}}}{9} + 2 x^{\frac{3}{2}} \log{\left(2 \right)}$$
Simplify
The answer [src] 
-4/9 + 2*log(2)
$$- \frac{4}{9} + 2 \log{\left(2 \right)}$$ 
=
= 
-4/9 + 2*log(2)
$$- \frac{4}{9} + 2 \log{\left(2 \right)}$$ 
-4/9 + 2*log(2)
Numerical answer [src] 
0.941849916675446
0.941849916675446

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

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