Practicing Success
The value of the integral $∫\frac{logx^3}{x}dx$ is : |
$\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 |
$\frac{3}{2}(log\, x)^2 +C,$ where C is a constant |
The correct answer is Option (2) → $\frac{3}{2}(log\, x)^2 +C,$ where C is a constant $∫\frac{\log x^3}{x}dx$ $=\frac{3(\log x)^2}{2}+C$ |