Mister Exam

Integral of 3e^-x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  0         
  /         
 |          
 |     -x   
 |  3*e   dx
 |          
/           
-1          
$$\int\limits_{-1}^{0} 3 e^{- x}\, dx$$
Integral(3/E^x, (x, -1, 0))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

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

      But the integral is

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                    
 |                     
 |    -x             -x
 | 3*e   dx = C - 3*e  
 |                     
/                      
$$\int 3 e^{- x}\, dx = C - 3 e^{- x}$$
The graph
The answer [src]
-3 + 3*e
$$-3 + 3 e$$
=
=
-3 + 3*e
$$-3 + 3 e$$
Numerical answer [src]
5.15484548537714
5.15484548537714
The graph
Integral of 3e^-x dx

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