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1/(x*(log(2)x)^(1/5))

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  • Integral of d{x}:
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  • Integral of tg2x Integral of tg2x
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  • Integral of (x+1)e^-x Integral of (x+1)e^-x

  • Identical expressions

  • one /(x*(log(two)x)^(one / five))
  • 1 divide by (x multiply by ( logarithm of (2)x) to the power of (1 divide by 5))
  • one divide by (x multiply by ( logarithm of (two)x) to the power of (one divide by five))
  • 1/(x*(log(2)x)(1/5))
  • 1/x*log2x1/5
  • 1/(x(log(2)x)^(1/5))
  • 1/(x(log(2)x)(1/5))
  • 1/xlog2x1/5
  • 1/xlog2x^1/5
  • 1 divide by (x*(log(2)x)^(1 divide by 5))
  • 1/(x*(log(2)x)^(1/5))dx
Solving integrals/ 1/(x*(log(2)x)^(1/5))

Integral of 1/(x*(log(2)x)^(1/5)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 32                    
  /                    
 |                     
 |          1          
 |  1*-------------- dx
 |      5 __________   
 |    x*\/ log(2)*x    
 |                     
/                      
1
∫1321⋅1xxlog⁡(2)5 dx\int\limits_{1}^{32} 1 \cdot \frac{1}{x \sqrt[5]{x \log{\left(2 \right)}}}\, dx 
Integral(1/(x*(log(2)*x)^(1/5)), (x, 1, 32))
The answer (Indefinite) [src] 
  /                                          
 |                                           
 |         1                        5        
 | 1*-------------- dx = C - ----------------
 |     5 __________          5 ___ 5 ________
 |   x*\/ log(2)*x           \/ x *\/ log(2) 
 |                                           
/
−5(log⁡2)15 x15-{{5}\over{\left(\log 2\right)^{{{1}\over{5}}}\,x^{{{1}\over{5}}}}}
Simplify
The graph
2.55.07.510.012.515.017.520.022.525.027.530.05-10
Plot the graph f(x)
The answer [src] 
     5      
------------
  5 ________
2*\/ log(2)
52 (log⁡2)15{{5}\over{2\,\left(\log 2\right)^{{{1}\over{5}}}}} 
=
= 
     5      
------------
  5 ________
2*\/ log(2)
52log⁡(2)5\frac{5}{2 \sqrt[5]{\log{\left(2 \right)}}}
Simplify
Numerical answer [src] 
2.69014021284751
2.69014021284751
The graph
Integral of 1/(x*(log(2)x)^(1/5)) dx

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

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