∫ (1)/(sin 2x)dx, x ∈ [π/6, π/3] is equal to A. log e 3 B. log e √3 C. 1/2 log(-1) D. log(-1)

Question

\(\int\limits_{\pi/6}^{\pi/3}\cfrac{1}{sin\,2\text x}d\text x \) is equal to

A. log_e 3

B. log_e √3

C. \(\cfrac12\) log(-1)

D. log(-1)

Answer 1

Correct option is B. log_e√3

Given \(\int\limits_{\pi/6}^{\pi/3}\cfrac{1}{sin\,2\text x}d\text x \)