Question

The area of the region bounded by the curve at $y=\tan x$ tangent drawn to curve at $x=\frac{\pi }{4}$

Answer 1

the area of the region is ${\int }^{}tanx$ from 0 to $\pi /4$

$\left[log\right(secx)+c{]}_0^{\pi /4}$

$=log\sqrt{2}$