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  • Identical expressions

  • sqrt(x)*(ln(x))^ three
  • square root of (x) multiply by (ln(x)) cubed
  • square root of (x) multiply by (ln(x)) to the power of three
  • √(x)*(ln(x))^3
  • sqrt(x)*(ln(x))3
  • sqrtx*lnx3
  • sqrt(x)*(ln(x))³
  • sqrt(x)*(ln(x)) to the power of 3
  • sqrt(x)(ln(x))^3
  • sqrt(x)(ln(x))3
  • sqrtxlnx3
  • sqrtxlnx^3
  • sqrt(x)*(ln(x))^3dx
Solving integrals/ sqrt(x)*(ln(x))^3

Integral of sqrt(x)*(ln(x))^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |    ___    3      
 |  \/ x *log (x) dx
 |                  
/                   
0
$$\int\limits_{0}^{1} \sqrt{x} \log{\left(x \right)}^{3}\, dx$$ 
Integral(sqrt(x)*log(x)^3, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                                 
 |                            3/2      3/2    2         3/2    3          3/2       
 |   ___    3             32*x      4*x   *log (x)   2*x   *log (x)   16*x   *log(x)
 | \/ x *log (x) dx = C - ------- - -------------- + -------------- + --------------
 |                           27           3                3                9       
/
$$\int \sqrt{x} \log{\left(x \right)}^{3}\, dx = C + \frac{2 x^{\frac{3}{2}} \log{\left(x \right)}^{3}}{3} - \frac{4 x^{\frac{3}{2}} \log{\left(x \right)}^{2}}{3} + \frac{16 x^{\frac{3}{2}} \log{\left(x \right)}}{9} - \frac{32 x^{\frac{3}{2}}}{27}$$
Simplify
The answer [src] 
-32 
----
 27
$$- \frac{32}{27}$$ 
=
= 
-32 
----
 27
$$- \frac{32}{27}$$ 
-32/27
Numerical answer [src] 
-1.18518518518519
-1.18518518518519

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

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