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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of e^(xy)
- Integral of 1/sqrt(sin(x))
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Integral of xxx
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Integral of y^2dy
- e^(xy)
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Identical expressions
- e^(xy)
- e to the power of (xy)
- e(xy)
- exy
- e^xy
- e^(xy)dx
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Similar expressions
- y^2e^xy^2+6x
- yx^2e^xy
- x*y*e^(x*y)*dx
- xye^(xy^2)dy
Integral of e^(xy) dy
The solution
You have entered
[src]
1 / | | x*y | e dy | / 0
$$\int\limits_{0}^{1} e^{x y}\, dy$$
Integral(E^(x*y), (y, 0, 1))
The answer (Indefinite)
[src]
/ // x*y \
| ||e |
| x*y ||---- for x != 0|
| e dy = C + |< x |
| || |
/ || y otherwise |
\\ /
$$\int e^{x y}\, dy = C + \begin{cases} \frac{e^{x y}}{x} & \text{for}\: x \neq 0 \\y & \text{otherwise} \end{cases}$$
The answer
[src]
/ x | 1 e |- - + -- for And(x > -oo, x < oo, x != 0) < x x | | 1 otherwise \
$$\begin{cases} \frac{e^{x}}{x} - \frac{1}{x} & \text{for}\: x > -\infty \wedge x < \infty \wedge x \neq 0 \\1 & \text{otherwise} \end{cases}$$
=
=
/ x | 1 e |- - + -- for And(x > -oo, x < oo, x != 0) < x x | | 1 otherwise \
$$\begin{cases} \frac{e^{x}}{x} - \frac{1}{x} & \text{for}\: x > -\infty \wedge x < \infty \wedge x \neq 0 \\1 & \text{otherwise} \end{cases}$$
Use the examples entering the upper and lower limits of integration.