1 / | | x | x*e dx | / 0
Integral(x*exp(x), (x, 0, 1))
Use integration by parts:
Let and let .
Then .
To find :
The integral of the exponential function is itself.
Now evaluate the sub-integral.
The integral of the exponential function is itself.
Now simplify:
Add the constant of integration:
The answer is:
/ | | x x x | x*e dx = C - e + x*e | /
Use the examples entering the upper and lower limits of integration.