Integrate 2tanx

To integrate 2tanx, also written as ∫2tanx dx, we focus on the constant 2 and how it impacts the integration.

A constant can be brought outside of the integral sign to simplify the integration.

We use a standard proof from formula booklet, as shown above, and therefore ∫tanx dx = -ln|cosx| + C.

Hence we substitute that into the equation and reintroduce the constant.

After simplifying, the answer is ∫2tanx dx = -2ln|cosx| + C.