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

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

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We have given,
`int1/(sqrt(3)sinx+cosx)dx`
`I=int1/(sqrt(3)sinx+cosx)dx`
`I=(1/2)int1/((sqrt(3)/2)sinx+(1/2)cosx)dx`
`I=(1/2)int1/(cos(pi/6)sinx+sin(pi/6)cosx)dx`
`I=(1/2)int1/(sin(x+pi/6))dx`
`I=(1/2)int cosec(x+pi/6)dx`
`I=(1/2) log|cosec(x+pi/6)-cot(x+pi/6)|+c`
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