Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

$\int\limits_1^4 \log _e[x] d x$ equals

Options:

$\log _e 6$

$\log _e 3$

$\log _e 2$

none of these

Correct Answer:

$\log _e 6$

Explanation:

We have,

$I=\int\limits_1^4 \log _e[x] d x$

$\Rightarrow I=\int\limits_1^2 \log _e 1 d x+\int\limits_2^3 \log _e 2 d x+\int\limits_3^4 \log _e 3 d x$

$\Rightarrow I=\log _e 2+\log _e 3=\log _e 6$