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Integrate the functions(sinx)/(1+cosx)...

Integrate the functions`(sinx)/(1+cosx)`

Text Solution

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Let `1+cosx=t` Differentiating both sides w.r.t .x
`0-sinx=dt/dx`
`-sinx=dt/dx`
`dx=-dt/sinx`
Integrating the function
`int sinx /(1+cosx).dx `
`int sinx/t.dt/-sinx`
`int dt/-t `
`-1 int 1/t dt `
`-log abs(t) +C `
`-log abs(1+cosx) +C `
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