Question

`int_1^sqrt(3) (dx)/(1 + x^2)` equals

Options

• `pi/3`

• `(2pi)/3`

• `pi/6`

• `pi/12`

Answer 1

`pi/12`

Explanation:

`int_1^sqrt(3) (dx)/(1 + x^2) = [tan - 1]_1^sqrt(5)`

= `tan^-1 sqrt(3) - tan^-1 1`

= `pi/3 - pi/4`

= `pi/12`