Calculus
# Area Between Curves

$x={y}^3-300y$ and the vertical lines are tangent lines to the curve, what is the area of the shaded region?

If the blue curve in the above diagram represents the graph ofWhat is the area of the region bounded by the curve $x= -{y}^2+100$ and the $y$-axis ?

What is the area of the region bounded by the curve $x= -6y(y-4)$ and the $y$-axis ?