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

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

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