Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

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

Options:

$\frac{2}{3}(log\, x)^2+C, $ where C is a constant

$\frac{3}{2}(log\, x)^2 +C,$ where C is a constant

$logx^2+C,$ where C is a constant

$logx^3+C, $ where C is a constant

Correct Answer:

$\frac{3}{2}(log\, x)^2 +C,$ where C is a constant

Explanation:

The correct answer is Option (2) → $\frac{3}{2}(log\, x)^2 +C,$ where C is a constant

$∫\frac{\log x^3}{x}dx$

$=\frac{3(\log x)^2}{2}+C$