I have some trouble solving these

what is the integral of ln(cos(x))? and the integral of x^2 tan(x)?

I need the steps please

  • 1
    $\begingroup$ Both are examples of integration by parts. Try to work this out yourself. $\endgroup$
    – Q-Zhang
    Sep 6, 2016 at 21:54
  • $\begingroup$ @QingZhang Really? See WA's answer. Of course, WA does sometimes give results in an overly complex way, but it won't be easy to find this with only integration by parts... Same with this one and this definite integral. $\endgroup$ Sep 7, 2016 at 6:23
  • $\begingroup$ Are you sure you need the antiderivative? Computing $\int_0^{\pi/2} \log(\cos x)\;\mathrm{d}x$ for example, is a well-known exercise which is much simpler that computing the antiderviative. $\endgroup$ Sep 7, 2016 at 6:38
  • $\begingroup$ Ya i need the antiderivative $\endgroup$
    – Omar Ali
    Sep 7, 2016 at 11:24
  • $\begingroup$ @Jean-ClaudeArbaut I think I was wrong. I thought tan(x) as arctant(x). $\endgroup$
    – Q-Zhang
    Sep 7, 2016 at 14:12


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