Evaluate the line integral along the path C given by

Barbara Schroder 2021-11-15 Answered
Evaluate the line integral along the path C given by x=2t, y=10t, where 0t1cxydx+ydy
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Expert Answer

Momp1989
Answered 2021-11-16 Author has 21 answers
Cxydx+ydy
Given that x=2t and y=4t
Therefore, dx=2dt and dy=4dt
Substitute the value to get
C(2t×4t)(2dt)+(4t)(4dt)
Given that 0t1, therefore we will integrate from 0 to 1
0116t2+16tdt=[16t33+16t22]01
=[16t3+8t2]01
=163+8
=16+243
=403
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