MathDB

Let

O

be the origin.

y = c

intersects the curve

y = 2x - 3x^3

P

and

Q

in the first quadrant and cuts the y-axis at

R

. Find

c

so that the region

OPR

bounded by the y-axis, the line

y = c

and the curve has the same area as the region between

P

and

Q

under the curve and above the line

y = c

Problem Statement