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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of cosx
- Integral of (3-sin(x))/(2cos(x)+3tan(x))
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Integral of (x+3)e^x
- Integral of (x+4)/(x^2(x-1))
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Identical expressions
- a*exp^(-ax)dx
- a multiply by exponent of to the power of ( minus ax)dx
- a*exp(-ax)dx
- a*exp-axdx
- aexp^(-ax)dx
- aexp(-ax)dx
- aexp-axdx
- aexp^-axdx
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Similar expressions
- a*exp^(ax)dx
Integral of a*exp^(-ax)dx dx
The solution
You have entered
[src]
2 / | | -a*x | a*E dx | / 1
$$\int\limits_{1}^{2} e^{- a x} a\, dx$$
Integral(a*E^((-a)*x), (x, 1, 2))
The answer (Indefinite)
[src]
/ // x for a = 0\
| || |
| -a*x || -a*x |
| a*E dx = C + a*|<-e |
| ||------- otherwise|
/ || a |
\\ /
$$\int e^{- a x} a\, dx = C + a \left(\begin{cases} x & \text{for}\: a = 0 \\- \frac{e^{- a x}}{a} & \text{otherwise} \end{cases}\right)$$
The answer
[src]
-2*a -a - e + e
$$e^{- a} - e^{- 2 a}$$
=
=
-2*a -a - e + e
$$e^{- a} - e^{- 2 a}$$
-exp(-2*a) + exp(-a)
Use the examples entering the upper and lower limits of integration.