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

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

Limits of integration:

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The graph:

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Piecewise:

The solution

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

  1. Integrate term-by-term:

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

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

        But the integral is

      So, the result is:

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

      But the integral is

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                 
 |                                  
 | /  1    -x\           -x         
 | |1*- - e  | dx = C + e   + log(x)
 | \  x      /                      
 |                                  
/
$$\log x+e^ {- x }$$
Simplify
The answer [src] 
oo
$${\it \%a}$$ 
=
= 
oo
$$\infty$$
Упростить
Numerical answer [src] 
43.4583255751643
43.4583255751643

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

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