Evaluate the line integral C F · dr, where C is given by the vector function r(t). F(x, y) = xy i + 6y^2 j and r(t) = 14t^4 i + t^6 j, 0 ≤ t ≤ 1.
Added by Rocio R.
Step 1
Step 1: Calculate F(r(t)): F(r(t)) = xy i + 6y^2 j Substitute r(t) into F(x, y): F(r(t)) = (14t^4)(t^6) i + 6(t^6)^2 j F(r(t)) = 14t^10 i + 6t^12 j Show more…
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