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x^2+2/x

Integral of x^2+2/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |  / 2   2\   
 |  |x  + -| dx
 |  \     x/   
 |             
/              
0              
$$\int\limits_{0}^{1} \left(x^{2} + \frac{2}{x}\right)\, dx$$
Integral(x^2 + 2/x, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. The integral of is when :

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

      1. The integral of is .

      So, the result is:

    The result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                               
 |                               3
 | / 2   2\                     x 
 | |x  + -| dx = C + 2*log(x) + --
 | \     x/                     3 
 |                                
/                                 
$$\int \left(x^{2} + \frac{2}{x}\right)\, dx = C + \frac{x^{3}}{3} + 2 \log{\left(x \right)}$$
The graph
The answer [src]
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$$\infty$$
=
=
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$$\infty$$
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Numerical answer [src]
88.5142256013191
88.5142256013191
The graph
Integral of x^2+2/x dx

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