If the area bounded by the curve `y= sin ax, y = 0, x=pi//a and x=pi //3a( a gt 0)`, is 3 then a is equal to

Options

A. `1//2`
B. 2
C. `(2+sqrt(3))//3`
D. None of these

Answer

A

Explanation

`int_(pi//3a)^(pi//a)sin ax dx=3`
`rArr -(1)/(4){cos ax}_(pi//3a)^(pi//a)=3`
`=-(1)/(a){-1-(1)/(2)}=3 rArr a=(1)/(2)`