Let be the region bounded by the curve

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

Problem

Let

R

be the region bounded by the curve

x = e^{-y^{2}}

, the

y

-axis, and the horizontal lines

y = 0

and

y = 1

. Which of the following is the best approximation to the area of

R

? (a)

0.68

(b)

0.75

(c)

0.78

(d)

0.67