Definite Integration Question 337

Question: Area bounded by curve $ xy=c, $

$ x- $ axis between $ x=1 $ and $ x=4, $ is

Options:

A) $ c\log 3 $ sq. unit

B) $ 2\log c $ sq. unit

C) $ 2c\log 2 $ sq. unit

D) $ 2c\log 5 $ sq. unit

Show Answer

Answer:

Correct Answer: A

Solution:

Required area $ =\int_1^{4}{ydx=c\int_1^{4}{\frac{1}{x}dx}} $ = $ 2c\log 2 $ sq. unit.