Integrate (tanx)^2

Method:We use the trigonometric identity (tanx)^2 +1 = (secx)^2 to understand that (tanx)^2 can be written as (secx)^2-1.We then use the formula booklet to identify that (secx)^2 is a given integral and its result is tanx.Integrating any integer k means the result is kx.Answer:tanx-x