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Integral of e^x+4
Derivative of:
e^x+4
Identical expressions
e^x+ four
e to the power of x plus 4
e to the power of x plus four
ex+4
e^x+4dx
Similar expressions
e^x-4

Solving integrals/ e^x+4

Integral of e^x+4 dx

The solution

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  1            
  /            
 |             
 |  / x    \   
 |  \E  + 4/ dx
 |             
/              
0

$$\int\limits_{0}^{1} \left(e^{x} + 4\right)\, dx$$

Integral(E^x + 4, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of the exponential function is itself.
  
  $\int e^{x}\, dx = e^{x}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 4\, dx = 4 x$
The result is: $e^{x} + 4 x$
Now simplify:

$4 x + e^{x}$
Add the constant of integration:

$4 x + e^{x}+ \mathrm{constant}$

The answer is:

$4 x + e^{x}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          
 |                           
 | / x    \           x      
 | \E  + 4/ dx = C + E  + 4*x
 |                           
/

$$\int \left(e^{x} + 4\right)\, dx = e^{x} + C + 4 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3 + E

$$e + 3$$

3 + E

$$e + 3$$

3 + E

Numerical answer [src]

5.71828182845905

5.71828182845905

The graph

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

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Identical expressions

Similar expressions

Integral of e^x+4 dx

Limits of integration:

The graph:

Piecewise:

The solution