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2e^(2x)
Solving integrals/ 2e^(2x)

Integral of 2e^(2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
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 |     2*x   
 |  2*e    dx
 |           
/            
0
∫012e2x dx\int\limits_{0}^{1} 2 e^{2 x}\, dx 
Integral(2*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:

    ∫2e2x dx=2∫e2x dx\int 2 e^{2 x}\, dx = 2 \int e^{2 x}\, dx

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

      But the integral is

      e2x2\frac{e^{2 x}}{2}

    So, the result is: e2xe^{2 x}

  2. Add the constant of integration:

    e2x+constante^{2 x}+ \mathrm{constant}

The answer is:

e2x+constante^{2 x}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                    
 |                     
 |    2*x           2*x
 | 2*e    dx = C + e   
 |                     
/
e2 xe^{2\,x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90020
Plot the graph f(x)
The answer [src] 
      2
-1 + e
2 (e22−12)2\,\left({{e^2}\over{2}}-{{1}\over{2}}\right) 
=
= 
      2
-1 + e
−1+e2-1 + e^{2}
Simplify
Numerical answer [src] 
6.38905609893065
6.38905609893065
The graph
Integral of 2e^(2x) dx

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

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