Dance of the mosquitos

Calculus Level 3

Evaluate the curvilinear integral \(\displaystyle \int_C \boldsymbol{F} \cdot d \boldsymbol{r}\), where \(F(x, y) = xy\ \boldsymbol{i} + 3y^2\ \boldsymbol{j}\) and \(C\) is a vector function \(\boldsymbol{r}(t)=11t^4\ \boldsymbol{i} + t^3\ \boldsymbol{j}\), where \(0 \leq t \leq 1\).

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