Integrate 2cosx
![Integrate 2cosx](integrate-2cosx/step-1.gif)
To integrate 2cosx, also written as ∫2cosx dx, we focus on the constant 2 and how it impacts the integration.
![](integrate-2cosx/step-2.gif)
A constant can be brought outside of the integral sign to simplify the integration.
![∫cosx dx = sinx +C](integrate-2cosx/step-3.gif)
We use a standard proof from formula booklets, as shown above, and therefore ∫cosx dx = sinx + C.
![](integrate-2cosx/step-4.gif)
Hence we substitute that into the equation and reintroduce the constant.
![∫2cosx dx = 2sinx + C](integrate-2cosx/step-5.gif)
After simplifying, this is the answer.