Determine the exact area of the region enclosed by the parabola and the line .

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Determine the exact area of the region enclosed by the parabola

x = y^{2}

and the line

x = 6 - y

. (a)

\dfrac{125}{3}

(b)

\dfrac{22}{3}

(c)

\dfrac{125}{6}

(d)

-\dfrac{125}{6}