Suppose
C
is the curve
r(t)=(:2t,2t^(3):)
, for
0<=t<=4
, and
F=(:3x,3y:)
. Evaluate
\int_C F*Tds
using the following steps. a. Convert the line integral
\int_C F*Tds
to an ordinary integral. b. Evaluate the integral in part (a). a. Convert the line integral
\int_C F*Tds
to an ordinary integral.
\int_C F*Tds=\int_0 dt (Simplify your answers.)
The value of the line integral of
F
over
C
is
◻
(Type an exact answer, using radicals as needed.)