Asked by Pete

A curved wooden log was placed across a flowing river. Determine the area between the curve of y=3x^3 of the wooden log on the axis of y and the straight line (width of the river) y=2
Answered by oobleck
not sure how 3x^3 can be the curve of a log, but the area between the y-axis and the curve is (since x=∛(2/3) when y=2)
∫[0,∛(2/3) (2 - 3x^3) dx = ∛(9/4)
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