Integral Calculus Question - Need to Integrate this expression

[Duckers]

integral( 1 / [ sin(x) + sec(x) ] )dx

I am having an argument with one of my colleagues about the correct evaluation of this expression. Can anyone post the answer ?

 

[Duckers]

anyone?

 

[Marty]

1/4 * sqrt(2) * ln ((sqrt(2) cos(x) - 2) / (sqrt(2) cos(x) + 2))

Marty