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Identical expressions
one /x^ two - one /x^ three
1 divide by x squared minus 1 divide by x cubed
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1/x2-1/x3
1/x²-1/x³
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1/x^2-1/x^3dx
Similar expressions
1/x^2+1/x^3

Solving integrals/ 1/x^2-1/x^3

Integral of 1/x^2-1/x^3 dx

The solution

You have entered [src]

 -1                 
  /                 
 |                  
 |  /  1      1 \   
 |  |1*-- - 1*--| dx
 |  |   2      3|   
 |  \  x      x /   
 |                  
/                   
-3

$$\int\limits_{-3}^{-1} \left(- \frac{1}{x^{3}} + 1 \cdot \frac{1}{x^{2}}\right)\, dx$$

Integral(1/x^2 - 1/(x^3), (x, -3, -1))

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- \frac{1}{x^{3}}\right)\, dx = - \int \frac{1}{x^{3}}\, dx$
  1. Don't know the steps in finding this integral.
    
    But the integral is
    
    $- \frac{1}{2 x^{2}}$
  So, the result is: $\frac{1}{2 x^{2}}$
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $- \frac{1}{x}$
The result is: $- \frac{1}{x} + \frac{1}{2 x^{2}}$
Now simplify:

$\frac{\frac{1}{2} - x}{x^{2}}$
Add the constant of integration:

$\frac{\frac{1}{2} - x}{x^{2}}+ \mathrm{constant}$

The answer is:

$\frac{\frac{1}{2} - x}{x^{2}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                               
 |                                
 | /  1      1 \           1     1
 | |1*-- - 1*--| dx = C + ---- - -
 | |   2      3|             2   x
 | \  x      x /          2*x     
 |                                
/

$${{1}\over{2\,x^2}}-{{1}\over{x}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

10/9

$${{10}\over{9}}$$

10/9

$$\frac{10}{9}$$

Упростить

Numerical answer [src]

1.11111111111111

1.11111111111111

The graph

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

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Integral of 1/x^2-1/x^3 dx

Limits of integration:

The graph:

Piecewise:

The solution