Question

Find the area of the region bounded by the curve whose equation is y = tan x, its tangent drawn at x - π/4 and the x-axis.

Answer 1

See Fig.

Required area (shaded) is

Equation of tangent is y - 1 = 2(x - π/4)

When y = 0, x = π/4 - 1/2 = 0Q.