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  4. Area of the region bounded by the curve y= tan x, the x-axis and the line x=(π/3) is

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

KCETKCET 2022Application of Integrals

Solution:

$A=\int\limits_{0}^{\pi / 3} \tan x d x=\log |\sec x|_{0}^{\pi / 3}=\log 2$