Find the ratio of the areas in which the curve y = [ x^3 100 + x 35 ] divides the…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Find the ratio of the areas in which the curve

y = \left[ \frac{x^3}{100} + \frac{x}{35} \right] \text{ divides the circle } x^2 + y^2 - 4x + 2y + 1 = 0

(where,

[\,.\,]

denotes the greatest integer function).