First slide

Area of bounded Regions

Question

$T h e a r e a o f t h e r e g i o n b o u n d e d b y y = ∥ \log_{e} ⌊ x ∥ and y = 0$

Moderate

A

0
B

2
C

4
D

6

Solution

$T h e g i v e n c u r v e s a r e y = ∥\log_{e} ∣ x∥ and y = 0$

$From the figure, Required area = Area of the shaded region |\int_{0}^{1} \log x d x| = 1 s q u a r e u n i t s t o t a l r e g i o n i s 1 + 1 = 2 sq. units.$

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