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