Mister Exam

Integral of 4e^x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     x   
 |  4*e  dx
 |         
/          
0          
$$\int\limits_{0}^{1} 4 e^{x}\, dx$$
Integral(4*E^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 the exponential function is itself.

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                  
 |                   
 |    x             x
 | 4*e  dx = C + 4*e 
 |                   
/                    
$$\int 4 e^{x}\, dx = C + 4 e^{x}$$
The graph
The answer [src]
-4 + 4*e
$$-4 + 4 e$$
=
=
-4 + 4*e
$$-4 + 4 e$$
Numerical answer [src]
6.87312731383618
6.87312731383618
The graph
Integral of 4e^x dx

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