x / | | 2 | -x | 2*x*e dx | / 0
Integral((2*x)*exp(-x^2), (x, 0, x))
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
The integral of the exponential function is itself.
So, the result is:
Now substitute back in:
Add the constant of integration:
The answer is:
/ | | 2 2 | -x -x | 2*x*e dx = C - e | /
Use the examples entering the upper and lower limits of integration.