Mister Exam

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Integral of d{x}:
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Integral of 1/(x³+1)
Graphing y =:
e^(e^x)
Derivative of:
e^(e^x)
Identical expressions
e^(e^x)
e to the power of (e to the power of x)
e(ex)
eex
e^e^x
e^(e^x)dx

Solving integrals/ e^(e^x)

Integral of e^(e^x) dx

The solution

You have entered [src]

  1         
  /         
 |          
 |   / x\   
 |   \E /   
 |  E     dx
 |          
/           
0

$$\int\limits_{0}^{1} e^{e^{x}}\, dx$$

Integral(E^(E^x), (x, 0, 1))

Detail solution

Let $u = e^{x}$ .

Then let $du = e^{x} dx$ and substitute $du$ :

$\int \frac{e^{u}}{u}\, du$
Now substitute $u$ back in:

$\operatorname{Ei}{\left(e^{x} \right)}$
Now simplify:

$\operatorname{Ei}{\left(e^{x} \right)}$
Add the constant of integration:

$\operatorname{Ei}{\left(e^{x} \right)}+ \mathrm{constant}$

The answer is:

$\operatorname{Ei}{\left(e^{x} \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                     
 |                      
 |  / x\                
 |  \E /            / x\
 | E     dx = C + Ei\E /
 |                      
/

$$\int e^{e^{x}}\, dx = C + \operatorname{Ei}{\left(e^{x} \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-Ei(1) + Ei(E)

$$- \operatorname{Ei}{\left(1 \right)} + \operatorname{Ei}{\left(e \right)}$$

-Ei(1) + Ei(E)

$$- \operatorname{Ei}{\left(1 \right)} + \operatorname{Ei}{\left(e \right)}$$

-Ei(1) + Ei(E)

Numerical answer [src]

6.31656383902768

6.31656383902768

The graph

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

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How to use it?

Identical expressions

Integral of e^(e^x) dx

Limits of integration:

The graph:

Piecewise:

The solution