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Solving integrals/ x²×(dx)/x³-1

Integral of x²×(dx)/x³-1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  / 2    \   
 |  |x     |   
 |  |-- - 1| dx
 |  | 3    |   
 |  \x     /   
 |             
/              
2
$$\int\limits_{2}^{1} \left(\frac{x^{2}}{x^{3}} - 1\right)\, dx$$ 
Integral(x^2/x^3 - 1, (x, 2, 1))
Detail solution

  1. Integrate term-by-term:

    1. Don't know the steps in finding this integral.

      But the integral is

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                            
 |                             
 | / 2    \                    
 | |x     |                    
 | |-- - 1| dx = C - x + log(x)
 | | 3    |                    
 | \x     /                    
 |                             
/
$$\int \left(\frac{x^{2}}{x^{3}} - 1\right)\, dx = C - x + \log{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1 - log(2)
$$1 - \log{\left(2 \right)}$$ 
=
= 
1 - log(2)
$$1 - \log{\left(2 \right)}$$ 
1 - log(2)
Numerical answer [src] 
0.306852819440055
0.306852819440055

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

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