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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.)