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Solving integrals/ x^2/(x-1)

You entered:

x^2/(x-1)

What you mean?

x^2/(x - 1*1)
 
x^2/x - 1*1
 
x*2/(x - 1*1)
 
x*2/x - 1*1
 
x^2/(x - 1*1)
 
x^2/x - 1*1
 
x^2/x - 1*1

Integral of x^2/(x-1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |     2    
 |    x     
 |  ----- dx
 |  x - 1   
 |          
/           
0
$$\int\limits_{0}^{1} \frac{x^{2}}{x - 1}\, dx$$ 
Integral(x^2/(x - 1*1), (x, 0, 1))
Detail solution

  1. Rewrite the integrand:

  2. Integrate term-by-term:

    1. The integral of is when :

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

    1. Let .

      Then let and substitute :

      1. The integral of is .

      Now substitute back in:

    The result is:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                   
 |                                    
 |    2                2              
 |   x                x               
 | ----- dx = C + x + -- + log(-1 + x)
 | x - 1              2               
 |                                    
/
$${{x^2+2\,x}\over{2}}+\log \left(x-1\right)$$
Simplify
The answer [src] 
-oo - pi*I
$${\it \%a}$$ 
=
= 
-oo - pi*I
$$-\infty - i \pi$$
Упростить
Numerical answer [src] 
-42.5909567862195
-42.5909567862195

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

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