Let be the region bounded by the curve and the -axis for

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

Problem

Let

T

be the region bounded by the curve

x = \sqrt{\ln (y+1)}

and the

y

-axis for

0 \le y \le 4

. Using a calculator to evaluate the definite integral exactly is not practical. Which of the following is the best numerical estimate of the area of

T

? (a)

4.1

(b)

3.8

(c)

3.2

(d)

3.5