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Solving integrals/ loge^x

Integral of loge^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

    PiecewiseRule(subfunctions=[(ExpRule(base=log(E), exp=x, context=log(E)**x, symbol=x), False), (ConstantRule(constant=1, context=1, symbol=x), True)], context=log(E)**x, symbol=x)

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                  
 |                   
 |    x              
 | log (E) dx = C + x
 |                   
/
$$\int \log{\left(e \right)}^{x}\, dx = C + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1
$$1$$ 
=
= 
1
$$1$$ 
1
Numerical answer [src] 
1.0
1.0

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

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