Question

The area bounded by the curve y = tan x, X-axis and the line x = `pi/(4)` is ______.

विकल्प

• `1/2` log 2 sq units

• log 2 sq units

• 2 log 2 sq units

• 3·log 2 sq units

Answer 1

The area bounded by the curve y = tan x, X-axis and the line x = `pi/(4)` is `bbunderline(1/2  log  2  "sq units")`.

Explanation:

Required area = `int_0^(pi/4) tan dx`

= `log |sec x|_0^(pi/4)`

= `log sqrt2`

= `1/2` log 2 sq units.