Mister Exam

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  • Integral of d{x}:
  • Integral of x^-4 Integral of x^-4
  • Integral of e^u Integral of e^u
  • Integral of ex Integral of ex
  • Integral of e^(2*x)*sin(x) Integral of e^(2*x)*sin(x)
  • Identical expressions

  • dy/(y*(ln(y))^ three)
  • dy divide by (y multiply by (ln(y)) cubed )
  • dy divide by (y multiply by (ln(y)) to the power of three)
  • dy/(y*(ln(y))3)
  • dy/y*lny3
  • dy/(y*(ln(y))³)
  • dy/(y*(ln(y)) to the power of 3)
  • dy/(y(ln(y))^3)
  • dy/(y(ln(y))3)
  • dy/ylny3
  • dy/ylny^3
  • dy divide by (y*(ln(y))^3)

Integral of dy/(y*(ln(y))^3) dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |      1       
 |  --------- dy
 |       3      
 |  y*log (y)   
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{1}{y \log{\left(y \right)}^{3}}\, dy$$
Integral(1/(y*log(y)^3), (y, 0, 1))
The answer (Indefinite) [src]
  /                            
 |                             
 |     1                  1    
 | --------- dy = C - ---------
 |      3                  2   
 | y*log (y)          2*log (y)
 |                             
/                              
$$\int \frac{1}{y \log{\left(y \right)}^{3}}\, dy = C - \frac{1}{2 \log{\left(y \right)}^{2}}$$
The graph
The answer [src]
-oo
$$-\infty$$
=
=
-oo
$$-\infty$$
-oo
Numerical answer [src]
-9.16570389659885e+37
-9.16570389659885e+37

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