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**Math 1122****Guest**

Integral of secx is ln secx +tanx

How this is ln tan (pi/4 + x/2 )

Hi Math 1122,

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You can start by using the identity

You'll also need (some, if not all of) these facts:

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**Grantingriver****Member**- Registered: 2016-02-01
- Posts: 129

This problem can be solved along several paths. However, I will take the integration path since this is the natural answer of the question. The identity can be deduced as follows:

but we know that:

hence

However, when x=0 we have:

and hence

which is the required result. I hope that answer your question.

*Last edited by Grantingriver (2019-01-27 09:18:50)*

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