The Diagram Below Shows Upper and Lower Sums for the Function

Multiple Choice

The diagram below shows upper and lower sums for the function $f ( x ) = 2 \sqrt { 1 - x ^ { 3 / 2 } }$ using 4 subintervals. Use upper and lower sums to approximate the area of the region using the 4 subintervals.

A) lower: $1.166$ ; upper: $1.666$
B) lower: $4.664$ ; upper: $6.664$
C) lower: $2.332$ ; upper: $3.332$
D) lower: $0.916$ ; upper: $1.916$