Determine the area of the region bounded by the curve and the vertical line for .

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Determine the area of the region bounded by the curve

x = y^{2}

and the vertical line

x = 6

for

-\sqrt{6} \le y \le \sqrt{6}

. (a)

6\sqrt{6}

(b)

4\sqrt{6}

(c)

8\sqrt{6}

(d)

16\sqrt{6}