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e^y
Solving integrals/ e^y

Integral of e^y dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   y   
 |  E  dy
 |       
/        
0
∫01ey dy\int\limits_{0}^{1} e^{y}\, dy 
Integral(E^y, (y, 0, 1))
Detail solution

  1. The integral of the exponential function is itself.

    ∫ey dy=ey\int e^{y}\, dy = e^{y}

  2. Now simplify:

    eye^{y}

  3. Add the constant of integration:

    ey+constante^{y}+ \mathrm{constant}

The answer is:

ey+constante^{y}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |               
 |  y           y
 | E  dy = C + E 
 |               
/
∫ey dy=ey+C\int e^{y}\, dy = e^{y} + C
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
-1 + E
−1+e-1 + e 
=
= 
-1 + E
−1+e-1 + e 
-1 + E
Numerical answer [src] 
1.71828182845905
1.71828182845905
The graph
Integral of e^y dx

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

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