First slide

Area of bounded Regions

Question

$The area bounded by y = \log_{e} | x | and y = 0$

Moderate

A

1
B

2
C

3
D

4

Solution

$y = \log_{e} ⌊ x ∣ and y = 0$

$From the figure, required area = area of the shaded region = 1 + 1 = 2 sq . units (as we know that area bounded by y = \log_{e} x, x = 0, and y = 0 is 1 sq. units)$
$|\int_{0}^{1} \log x d x| = {[x \log x - x]}_{0}^{1} = 1$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App