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.

  • 1
    $\begingroup$ If Wolfram Alpha gives a hypergeometric function, presumably there is no elementary antiderivative. You can't integrate everything. $\endgroup$
    – saulspatz
    Jan 4 '20 at 18:37
  • $\begingroup$ "seemingly" ??? The number of characters has no relation to the difficulty :-) Try $x^x$. $\endgroup$
    – user65203
    Jan 4 '20 at 20:04
  • $\begingroup$ A hypergeometric $\phantom{}_2 F_1$ with complex parameters, hmm, such a joy! :D $\endgroup$ Jan 4 '20 at 22:11

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


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.