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

You entered:

(x^2+1)/x^2

What you mean?

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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
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 |   2       
 |  x  + 1   
 |  ------ dx
 |     2     
 |    x      
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0
∫01x2+1x2 dx\int\limits_{0}^{1} \frac{x^{2} + 1}{x^{2}}\, dx 
Integral((x^2 + 1)/(x^2), (x, 0, 1))
Detail solution

  1. Rewrite the integrand:

    x2+1x2=1+1x2\frac{x^{2} + 1}{x^{2}} = 1 + \frac{1}{x^{2}}

  2. Integrate term-by-term:

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

      ∫1 dx=x\int 1\, dx = x

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫1x2 dx=−1x\int \frac{1}{x^{2}}\, dx = - \frac{1}{x}

    The result is: x−1xx - \frac{1}{x}

  3. Add the constant of integration:

    x−1x+constantx - \frac{1}{x}+ \mathrm{constant}

The answer is:

x−1x+constantx - \frac{1}{x}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                     
 |                      
 |  2                   
 | x  + 1              1
 | ------ dx = C + x - -
 |    2                x
 |   x                  
 |                      
/
x−1xx-{{1}\over{x}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-5000000050000000
Plot the graph f(x)
The answer [src] 
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Упростить
Numerical answer [src] 
1.3793236779486e+19
1.3793236779486e+19
The graph
Integral of (x^2+1)/x^2 dx

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

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