For , the graphs of and intersect at and . Derive a simplified expression, in terms…

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

Problem

For

k>0

, the graphs of

y=kx

and

y=x^{2}

intersect at

x=0

and

x=k

. Derive a simplified expression, in terms of

k

, for the area of the region enclosed by the two graphs between these points.