engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Calculus Vector Calculus
The value of \(\oint\limits_C {\overline F \overline {dr} } \)where \(\overrightarrow F = y\widehat i + x\widehat j + (xy)\widehat k\) and C is the curve \(\overrightarrow r = t\widehat i + \mathop t\nolimits^2 \widehat j + \mathop t\nolimits^3 \widehat k\) from t = 0 to t =1 is
1
1.5
2
2.6
3
3.7
4
1.2