Question

The area bounded by the parabola x = 4 – y² and y-axis, in square units, is

A. 3/32

B. 32/3

C. 33/2

D. 16/3

Answer 1

Correct answer is B.

Is the blue shaded region.

At points of intersection on y-axis, x = 0

So, equation becomes 0 = 4 – y² or y = -2, 2

This becomes our bounds, and we integrate w.r.t. the y-axis –