Homework Sourse212 Let C be the parameterized curve given by rt t t2 t for
2.12. Let C be the parameterized curve given by r(t) = [t, t^2, t] for 1< = t < = 2.
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(a) Set up (but do not evaluate) the definite integral that evaluates the line integral
IntC xyz ds.
Solution
sol: suppose that, Let C be the parameterized curve given by r(t) = [t, t^2, t] for 1< = t < = 2. so This line is y = 2x (assuming it goes through the origin to the point (2,4)) So integrate y from 0 to 2x and x from 0 to 2 answer ..![2.12. Let C be the parameterized curve given by r(t) = [t, t^2, t] for 1< = t < = 2. <?xml:namespace prefix = o ns = \](/WebImages/33/212-let-c-be-the-parameterized-curve-given-by-rt-t-t2-t-for-1095054-1761577288-0.webp "2.12. Let C be the parameterized curve given by r(t) = [t, t^2, t] for 1< = t < = 2. <?xml:namespace prefix = o ns = \")
