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Question
Evaluate : `∫1/(3+2sinx+cosx)dx`
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Solution
let I=`∫1/(3+2sinx+cosx)dx`
put `tan(x/2)=t`
`x=2tan^-1t`
`dx=(2dt)/(1+t^2)` and `sinx=2t/(1+t^2), cosx((1-t^2)/(1+t^2))`
`therefore I=tan^-1[tan(x/2)+1]+c`
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