1 / | | ___ | \/ x *log(x) dx | / 0
Integral(sqrt(x)*log(x), (x, 0, 1))
/ | 3/2 3/2 | ___ 4*x 2*x *log(x) | \/ x *log(x) dx = C - ------ + ------------- | 9 3 /
1 / | | / ___ /1 \ | | 2*\/ x *log(x) for And|- < 1, x < 1| | | \x / | | | | ___ /1 \ | | \/ x *log(x) for Or|- < 1, x < 1| | | \x / | < dx | | __0, 3 /5/2, 5/2, 1 | \ | |3*/__ | | x| | | \_|3, 3 \ 3/2, 3/2, 0 | / __0, 3 /3/2, 5/2, 1 | \ __2, 1 / 0 5/2, 5/2 | \ | |---------------------------------------- + /__ | | x| /__ | | x| | | 2 \_|3, 3 \ 3/2, 3/2, 0 | / \_|3, 3 \3/2, 3/2 0 | / | |--------------------------------------------------------------------------------- - -------------------------------- otherwise | \ x x | / 0
=
1 / | | / ___ /1 \ | | 2*\/ x *log(x) for And|- < 1, x < 1| | | \x / | | | | ___ /1 \ | | \/ x *log(x) for Or|- < 1, x < 1| | | \x / | < dx | | __0, 3 /5/2, 5/2, 1 | \ | |3*/__ | | x| | | \_|3, 3 \ 3/2, 3/2, 0 | / __0, 3 /3/2, 5/2, 1 | \ __2, 1 / 0 5/2, 5/2 | \ | |---------------------------------------- + /__ | | x| /__ | | x| | | 2 \_|3, 3 \ 3/2, 3/2, 0 | / \_|3, 3 \3/2, 3/2 0 | / | |--------------------------------------------------------------------------------- - -------------------------------- otherwise | \ x x | / 0
Use the examples entering the upper and lower limits of integration.