Question

The value of the integral $∫_{\frac 12}^2 \frac{tan^{-1}x}{x}dx$ is equal to

• A. $\frac{π}2 log_e⁡2$
• B. $2 log_e⁡2$
• C. $\frac{1}2 log_e⁡2$
• D. $\frac{π}4 log_e⁡2$

Answer 1

Answer: (A)

$\frac{π}2 log_e⁡2$

Answer 2

The Correct Option is (A): $\frac{π}2 log_e⁡2$