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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=int1/(2((sqrt(3))/2sinx+(cosx)/2)\ 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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