1/7 / | | ___ x | \/ x *e dx | / 0
Integral(sqrt(x)*exp(x), (x, 0, 1/7))
UpperGammaRule(a=1, e=1/2, context=sqrt(x)*exp(x), symbol=x)
Now simplify:
Add the constant of integration:
The answer is:
/ ____ / ____\\ / ___ | ____ x \/ pi *erfc\\/ -x /| | \/ x *|\/ -x *e + -------------------| | ___ x \ 2 / | \/ x *e dx = C + --------------------------------------- | ____ / \/ -x
/ ___\ ____ |I*\/ 7 | ___ 1/7 I*\/ pi *erf|-------| \/ 7 *e \ 7 / ---------- + --------------------- 7 2
=
/ ___\ ____ |I*\/ 7 | ___ 1/7 I*\/ pi *erf|-------| \/ 7 *e \ 7 / ---------- + --------------------- 7 2
sqrt(7)*exp(1/7)/7 + i*sqrt(pi)*erf(i*sqrt(7)/7)/2
Use the examples entering the upper and lower limits of integration.