1 / | | 2 | -x | ---- | 2 | e | ----- dx | 2*pi | / 0
The integral of a constant times a function is the constant times the integral of the function:
ErfRule(a=-1/2, b=0, c=0, context=exp(-x**2/2), symbol=x)
So, the result is:
Add the constant of integration:
The answer is:
/ | | 2 | -x / ___\ | ---- ___ |x*\/ 2 | | 2 \/ 2 *erf|-------| | e \ 2 / | ----- dx = C + ------------------ | 2*pi ____ | 4*\/ pi /
/ ___\ ___ |\/ 2 | \/ 2 *erf|-----| \ 2 / ---------------- ____ 4*\/ pi
=
/ ___\ ___ |\/ 2 | \/ 2 *erf|-----| \ 2 / ---------------- ____ 4*\/ pi
Use the examples entering the upper and lower limits of integration.