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Identical expressions
e^(2x)+ one
e to the power of (2x) plus 1
e to the power of (2x) plus one
e(2x)+1
e2x+1
e^2x+1
e^(2x)+1dx
Similar expressions
e^(2x)-1
e^2x+1-1/x^2+2sin(x/2)

Solving integrals/ e^(2x)+1

Integral of e^(2x)+1 dx

The solution

You have entered [src]

 log(2)             
    /               
   |                
   |   / 2*x    \   
   |   \e    + 1/ dx
   |                
  /                 
  0

$$\int\limits_{0}^{\log{\left(2 \right)}} \left(e^{2 x} + 1\right)\, dx$$

Integral(E^(2*x) + 1, (x, 0, log(2)))

Detail solution

Integrate term-by-term:
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $\frac{e^{2 x}}{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
The result is: $x + \frac{e^{2 x}}{2}$
Add the constant of integration:

$x + \frac{e^{2 x}}{2}+ \mathrm{constant}$

The answer is:

$x + \frac{e^{2 x}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                            
 |                          2*x
 | / 2*x    \              e   
 | \e    + 1/ dx = C + x + ----
 |                          2  
/

$$\int \left(e^{2 x} + 1\right)\, dx = C + x + \frac{e^{2 x}}{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3/2 + log(2)

$$\log{\left(2 \right)} + \frac{3}{2}$$

3/2 + log(2)

$$\log{\left(2 \right)} + \frac{3}{2}$$

Упростить

Numerical answer [src]

2.19314718055995

2.19314718055995

The graph

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

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Identical expressions

Similar expressions

Integral of e^(2x)+1 dx

Limits of integration:

The graph:

Piecewise:

The solution