The value of the integral $I=∫\frac{

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

The value of the integral $I=∫\frac{(logx)^3}{x}dx $ is :

Options:

$\frac{1}{4}log(x^4)+C,$ where C is a constant

$\frac{(logx)^4}{4}+C,$ where C is a constant

$\frac{1}{2}log(x^2)+C,$ where C is a constant

$\frac{1}{2}(logx)^4+C,$ where C is a constant

Correct Answer:

$\frac{(logx)^4}{4}+C,$ where C is a constant