# 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 $$0 \leq t \leq 1$$.

×