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         
  /         
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 |     -x   
 |  3*e   dx
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/           
-1          
103exdx\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:

    3exdx=3exdx\int 3 e^{- x}\, dx = 3 \int e^{- x}\, dx

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

      But the integral is

      ex- e^{- x}

    So, the result is: 3ex- 3 e^{- x}

  2. Add the constant of integration:

    3ex+constant- 3 e^{- x}+ \mathrm{constant}


The answer is:

3ex+constant- 3 e^{- x}+ \mathrm{constant}

The answer (Indefinite) [src]
  /                    
 |                     
 |    -x             -x
 | 3*e   dx = C - 3*e  
 |                     
/                      
3exdx=C3ex\int 3 e^{- x}\, dx = C - 3 e^{- x}
The graph
-1.00-0.90-0.80-0.70-0.60-0.50-0.40-0.30-0.20-0.100.00-2020
The answer [src]
-3 + 3*e
3+3e-3 + 3 e
=
=
-3 + 3*e
3+3e-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.