$∫log_exdx$ is equal to :

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Home Questions 77NG84FYRA

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

$∫log_exdx$ is equal to :

Options:

$x(log_ex)+x+C$

$x(log_ex)-x+C$

$x-x(log_ex)+C$

$-x-x(log_ex)+C$

Correct Answer:

$x(log_ex)-x+C$

Explanation:

The correct answer is Option (2) → $x(log_ex)-x+C$

$∫\log xdx$

$=x\log x-∫∫\frac{x}{x}dx$

$x(\log x)-x+C$