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Math 1122

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Integration

Integral of secx is ln secx +tanx
How this is ln tan (pi/4 + x/2 )

zetafunc

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Registered: 2014-05-21

Posts: 2,432

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Re: Integration

Hi Math 1122,

Welcome! Why not register an account with us?

You can start by using the identity

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

Grantingriver

Member

Registered: 2016-02-01

Posts: 129

Re: Integration

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)