Integration of "Which"
- To: mathgroup at smc.vnet.net
- Subject: [mg32113] Integration of "Which"
- From: klepachd at yahoo.com (Doron)
- Date: Thu, 27 Dec 2001 03:34:15 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hello, and thank you for your help .
This is as a follow up to my last question about integration of Which .
My problem is alittle more complicated:
W[i_, x_]:= Which[[i == 1,Which[0 <= x <= 1/2, 0, 1/2 < x <= 1,2(x - 1)],
i == 2,Which[0 <= x <= 1/2, 2x, 1/2 < x <= 1, 2(1 - x)]
i == 3,Which[0 <= x <=\ 1/2, 1 - 2x, 1/2 < x <= 1,0 ]];
k[x_] := 1 + x;
K[i_, j_, x_] :=
N[-(Integrate[D[W[j, x], x]*
D[W[i, x], x]*k[x],
{x, 0, 1/2}] +
Integrate[D[W[j, x], x]*
D[W[i, x], x]*k[x],
{x, 1/2, 1}])]
so I can`t use UnitStep , maybe ramp will work?
Anyway I can`t integrate this , is there a way to solve this ?