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JEE Previous Year Question

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

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

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

Correct answer: C

Solution

(c): Required area = \int_{0}^{π /3} tan xdx = ([- log cos x]_{0}^{π /3}) = ((- log \frac{1}{2} + log 1)) = log 2

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