Integrate 2sinx

To integrate 2sinx, also written as ∫2sinx 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 booklets, as shown above, and therefore ∫sinx dx = -cosx + C.

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

After simplifying, this is the answer.