The area bounded by $x=1, x=2, xy=1$ and

CUET Preparation Today

Start Free Mocks

Home Questions A3MDDAWJKF

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

The area bounded by $x=1, x=2, xy=1$ and x-axis is :

Options:

log 2

log 3

2 log 2

2 log 3

Correct Answer:

log 2

Explanation:

The correct answer is Option (1) → $\log 2$

So required area

$=\int\limits_1^2\frac{1}{x}dx$

$⇒|\log x|_1^2$

$=\log 2-\log 1$

$=\log 2$