A Seemingly Easy Indefinite Integral

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So, I'm stuck with an integral. It asks- $$ \int e^x \sec(x) dx $$

I tried integration by parts, tried substituting. Nothing worked. Wolframalpha gave me some peculiar stuff(something called 'Hypergeometric function') which I don't understand at all.

Any kind of help will be appreciated. Thank you.

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As it happens, this is a non-elementary integral, but you can solve it in terms of Hypergeometric function, but it's quite messy.