Evaluate: `int1/(sqrt(3)sinx+cosx)dx`

Explanation

`int(1)/(sqrt(3)sinx+cosx)dx`
`=(1)/(2)int(1)/((sqrt(3))/(2)sinx+(1)/(2)cos x)dx`
`=(1)/(2)int(1)/("sin"(x+(pi)/(6)))dx`
`=(1)/(2)int "cosec"(x+(pi)/(6))dx`
` =(1)/(2)log_(e) |tan((x)/(2)+(pi)/(12))|+c`