Parameterize C by r(t) = for t in 0, 1. Then, r'(t) = . Ds = ||r'(t)|| dt =?29 dt.
Parameterize C by r(t) = for t in 0, 1. R'(t) = . Ds = ||r'(t)|| dt =?29 dt.?c xe^(yz) ds?(t = 0 to 1) 4te^(3t * 2t) *?29 dt 4?29?(t = 0 to 1) te^(6t^2) dt 4?29 * (1/12)e^(6t^2) {for t = 0 to 1}?29 (e^6 - 1)/3.
1 thus int over t in 0,1 of { 4 t e^(6t²) dt }...............{ e^ 6 / 3 }.
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