Question

∫sec(t/3)

Answer 1

u substitution method. consider u=(t/3), then du= 1/3 dt

Answer 2

3integral(secudu)

Answer 3

simplify the expression..\[\int\limits_{?}^{?}\frac{ 1 }{ \cos(\frac{ t }{ 3 }) }dt\]

Answer 4

integral(secu)du= ln(|secu+tanu|)

Answer 5

than use u subtitution

Answer 6

Aoi have you learned this integral yet? \(\large \int \sec x\;dx\)

If not, we can do the necessary steps to solve this problem the long way.
It's a little tricky though, and not intuitive at all.
It's not a method you would just stumble upon.