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## Main Question or Discussion Point

I was taking the integral of the secant function. Twice...

The first one is simple, but what is the integral of

ln(secx + tanx)dx?

I've tried a few things, the first being integration by parts with u = ln(secx + tanx+) and dv = dx

This just cancels in the end to 0 = 0

I also rewrote it as int[ln(1+sinx) - ln(cosx)]dx but that doesn't seem to be any easier.

Any suggestion would be greatly appreciated.

The first one is simple, but what is the integral of

ln(secx + tanx)dx?

I've tried a few things, the first being integration by parts with u = ln(secx + tanx+) and dv = dx

This just cancels in the end to 0 = 0

I also rewrote it as int[ln(1+sinx) - ln(cosx)]dx but that doesn't seem to be any easier.

Any suggestion would be greatly appreciated.

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