Integration question

[tandoorichicken]

How do you do the following integral without using any special methods, i.e., integration by parts, etc.

\int \frac{\tan x}{\sin x} \,dx

?

[BLaH!]

What does \tan x equal? Hint: \tan x = \frac{\sin x}{?} You should remember what the "?" is! :tongue2:

Anyway, after you make that simplification you will have \int \sec x \ dx

Unfortunately this integral is tricky to evaluate and DOES require some special tricks to solve (not integration by parts though). Check out this website to see how: integral of secant (http://www.calc101.com/special_3.html)