johncreilly
New member
- Joined
- Sep 20, 2010
- Messages
- 1
I'm have a problem with a triple integral. I'm not sure where the last term (in red comes) from:
diff(int(int(int(rho*v, x = 0 .. L), y = -(1/2)*w .. (1/2)*w), z = 0 .. H), t)=rho*(diff(L(t), t, t))*w*H*L+(diff(L(t), t))^2*w*H*rho
where,
v = 9*(diff(L(t), t))*(1/4-(y/w)^2)*(2*z/H-z^2/H^2)
I've tried solving this by hand and using Maple and I cannot figure out where the last term comes from. Can anyone please help me with this??
diff(int(int(int(rho*v, x = 0 .. L), y = -(1/2)*w .. (1/2)*w), z = 0 .. H), t)=rho*(diff(L(t), t, t))*w*H*L+(diff(L(t), t))^2*w*H*rho
where,
v = 9*(diff(L(t), t))*(1/4-(y/w)^2)*(2*z/H-z^2/H^2)
I've tried solving this by hand and using Maple and I cannot figure out where the last term comes from. Can anyone please help me with this??