The area between a curve and the y axis Assignment

The area between a curve and the y axis Assignment 1

If the blue curve in the above diagram represents the graph of x={y}^3-300y and the vertical lines are tangent lines to the curve, what is the area of the shaded region?

The shaded region is bounded by the graph of the function
f, left parenthesis, x, right parenthesis, equals, 12, plus, x, minus, start fraction, 1, divided by, 2, end fraction, x, start superscript, 2, end superscript
and the x-axis.

What is its area?
Choose 1 answer:
Choose 1 answer:
  • (Choice A)
    start fraction, 250, divided by, 3, end fraction
  • (Choice B)
    start fraction, 314, divided by, 3, end fraction
  • (Choice C)
    start fraction, 314, divided by, 6, end fraction
  • (Choice D)
    start fraction, 250, divided by, 6, end fraction
  • (Choice E)
    None of the above
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