Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
- Integral of xe^(xy)
- Integral of cos(npix/l)
-
Integral of 4xe^(2x)
- Integral of 3xy
- The double integral of:
- xe^(xy)
-
Identical expressions
- xe^(xy)
- xe to the power of (xy)
- xe(xy)
- xexy
- xe^xy
- xe^(xy)dx
Integral of xe^(xy) dx
The solution
You have entered
[src]
1 / | | x*y | x*e dx | / 0
$$\int\limits_{0}^{1} x e^{x y}\, dx$$
Integral(x*E^(x*y), (x, 0, 1))
The answer (Indefinite)
[src]
// 2 \
|| x |
|| -- for y = 0|
|| 2 |
/ || | // x for y = 0\
| ||/ x*y | || |
| x*y |||e 2 | || x*y |
| x*e dx = C - |<|---- for y != 0 | + x*|
$${{\left(x\,y-1\right)\,e^{x\,y}}\over{y^2}}$$
The answer
[src]
/ y |1 (-1 + y)*e |-- + ----------- for And(y > -oo, y < oo, y != 0) < 2 2 |y y | \ 1/2 otherwise
$${{\left(y-1\right)\,e^{y}}\over{y^2}}+{{1}\over{y^2}}$$
=
=
/ y |1 (-1 + y)*e |-- + ----------- for And(y > -oo, y < oo, y != 0) < 2 2 |y y | \ 1/2 otherwise
$$\begin{cases} \frac{\left(y - 1\right) e^{y}}{y^{2}} + \frac{1}{y^{2}} & \text{for}\: y > -\infty \wedge y < \infty \wedge y \neq 0 \\\frac{1}{2} & \text{otherwise} \end{cases}$$
Use the examples entering the upper and lower limits of integration.