JEE Advance - Mathematics (1988 - No. 32)
Find the area of the region bounded by the curve $$C:y=$$
$$\tan x,$$ tangent drawn to $$C$$ at $$x = {\pi \over 4}$$ and the $$x$$-axis.
$$\tan x,$$ tangent drawn to $$C$$ at $$x = {\pi \over 4}$$ and the $$x$$-axis.
$$\frac{1}{2} [\log 2 + \frac{1}{2}]$$ sq. units
$$\frac{1}{2} [\log 2 - \frac{1}{4}]$$ sq. units
$$\frac{1}{4} [\log 2 - \frac{1}{2}]$$ sq. units
$$\frac{1}{2} [\log 2 - \frac{1}{2}]$$ sq. units
$$\frac{1}{4} [\log 2 + \frac{1}{4}]$$ sq. units