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Line integral: \[\int\limits_{C}^{}x ^{2}dx+y ^{2}dy\] of the line segment from (0,2) to (4,3)

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Is it:
\[\int\limits_{0}^{4}16t ^{2}(4)+(2+t)^{2}(1)dt\]

The parameterized curve is r(t)=(4t, 2+t) right?

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