Question

Area of the region bounded by the curve $y=\tan x$, the $x$-axis and the line $x=\frac{\pi }{3}$ is

• A. ${\log }_2\frac{1}{2}$
• B. $0$
• C. $\log 2$
• D. $-\log 2$

Answer 1

Answer: (C)

$A=\underset{0}{\overset{\pi /3}{\int }}\tan xdx=\log |\sec x{|}_0^{\pi /3}=\log 2$