Mister Exam

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Integral of d{x}:
Integral of 0dx
Integral of x/(3x²-1)^4
Integral of ln|x|
Integral of (x+2)/(x+3)
Identical expressions
three /(xln^4x)
3 divide by (xln to the power of 4x)
three divide by (xln to the power of 4x)
3/(xln4x)
3/xln4x
3/(xln⁴x)
3/xln^4x
3 divide by (xln^4x)
3/(xln^4x)dx

Integral of 3/(xln^4x) dx

The solution

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 oo             
  /             
 |              
 |      3       
 |  --------- dx
 |       4      
 |  x*log (x)   
 |              
/               
E

$$\int\limits_{e}^{\infty} \frac{3}{x \log{\left(x \right)}^{4}}\, dx$$

Integral(3/((x*log(x)^4)), (x, E, oo))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int \frac{3}{x \log{\left(x \right)}^{4}}\, dx = 3 \int \frac{1}{x \log{\left(x \right)}^{4}}\, dx$
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $- \frac{1}{3 \log{\left(x \right)}^{3}}$
So, the result is: $- \frac{1}{\log{\left(x \right)}^{3}}$
Add the constant of integration:

$- \frac{1}{\log{\left(x \right)}^{3}}+ \mathrm{constant}$

The answer is:

$- \frac{1}{\log{\left(x \right)}^{3}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          
 |                           
 |     3                 1   
 | --------- dx = C - -------
 |      4                3   
 | x*log (x)          log (x)
 |                           
/

$$\int \frac{3}{x \log{\left(x \right)}^{4}}\, dx = C - \frac{1}{\log{\left(x \right)}^{3}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$1$$

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

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Identical expressions

Integral of 3/(xln^4x) dx

Limits of integration:

The graph:

Piecewise:

The solution