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Solving integrals/ 6*x^(-3)

Integral of 6*x^(-3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  E      
  /      
 |       
 |  6    
 |  -- dx
 |   3   
 |  x    
 |       
/        
1
$$\int\limits_{1}^{e} \frac{6}{x^{3}}\, dx$$ 
Integral(6/x^3, (x, 1, E))
Detail solution

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

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /              
 |               
 | 6           3 
 | -- dx = C - --
 |  3           2
 | x           x 
 |               
/
$$\int \frac{6}{x^{3}}\, dx = C - \frac{3}{x^{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       -2
3 - 3*e
$$3 - \frac{3}{e^{2}}$$ 
=
= 
       -2
3 - 3*e
$$3 - \frac{3}{e^{2}}$$ 
3 - 3*exp(-2)
Numerical answer [src] 
2.59399415029016
2.59399415029016

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

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