The function defines the right boundary of a region between the curve and the y-axis for

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

The function

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

defines the right boundary of a region between the curve and the y-axis for

0\le y\le 2

. Using four equal subintervals, approximate the area of the region with a trapezoidal sum, giving your answer to three decimal places.