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int1/(cosx+sqrt(3)sinx) dx equals...

`int1/(cosx+sqrt(3)sinx)` dx equals

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`int(dx)/(cosx+sqrt3sinx)`
`int(sec^2x/2)/(1-tan^2x/2+sqrt3*2tanx/2`
`int(sec^2x/2)/(1-tan^2(x/2)+2sqrt3tan(x/2)`
Let `tan(x/2)=t`
`1/2sec^2(x/2)dx=dt`
`int(2dt)/(1-t^2+2sqrt3t)`
`int(-2dt)/(t^2-2sqrt3-1)`
`-2int(dt)/(t-sqrt3)^2`
...
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int1/(cosx+sqrt(3)sinx)\ dx is equal to (a) logtan(pi/3+x/2)+C (b) logtan(x/2-pi/3)+C (c) 1/2logtan(x/2+pi/3)+C (d) none of these

int1/(cosx+sqrt(3)sinx)\ dx is equal to logtan(pi/3+x/2)+C (b) logtan(x/2-pi/3)+C (c) 1/2logtan(x/2+pi/3)+C (d) none of these

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Evalute: int(dx)/(cosx+sqrt(3)sinx) .