Question

Area bounded by y = sec²x, x = `π/6`, x = `π/3` and x-axis is ______.

Options

• `2/sqrt(3)`

• `sqrt(3)/2`

• `sqrt(2)/3`

• `sqrt(2/3)`

Answer 1

Area bounded by y = sec²x, x = `π/6`, x = `π/3` and x-axis is `underlinebb(2/sqrt(3))`.

Explanation:

A = `int_(π/6)^(π/3)sec^2xdx`

= `[tanx]_(π/6)^(π/3)`

= `sqrt(3) - 1/sqrt(3)`

= `2/sqrt(3)`