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e^2x
Solving integrals/ e^2x

Integral of e^2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   2     
 |  E *x dx
 |         
/          
0
$$\int\limits_{0}^{1} e^{2} x\, dx$$ 
Integral(E^2*x, (x, 0, 1))
Detail solution

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

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                   
 |                2  2
 |  2            x *e 
 | E *x dx = C + -----
 |                 2  
/
$$\int e^{2} x\, dx = C + \frac{x^{2} e^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 2
e 
--
2
$$\frac{e^{2}}{2}$$ 
=
= 
 2
e 
--
2
$$\frac{e^{2}}{2}$$ 
exp(2)/2
Numerical answer [src] 
3.69452804946533
3.69452804946533
The graph
Integral of e^2x dx

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

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