- Different paths / additivity?
- Integrate f(x,y) = x2y2 along line y = x,
0 ≤ x ≤ √2
- Key steps are to parameterize path, rewrite integral in terms of
parametric definitions of variables, multiply integrand by magnitude
of derivative of path vector
- Key steps are to parameterize path, rewrite integral in terms of
parametric definitions of variables, multiply integrand by magnitude
of derivative of path vector
- How about y/x along curve c1(t) = ⟨t,t2⟩, 0
≤ t ≤ 1/2, followed by c2(t) = ⟨t, 1/2t⟩,
1/2 ≤ t ≤ 1?
- Mass and moment
- Read
- Section 15.6
- “Mass and Moment Calculations” part of 16.1 (middle of page 941 through top 3/4 of 942)