To find Rn of the function f(x)=4x+2 on [0,2], we need to follow a series of steps.
1. Firstly, we need to determine the function `f(x)`, which in this case is `4x+2`.
2. Now we need to define the interval, which is [a, b]. In this case, `a` is 0 and `b` is 2.
3. We then need to find the average of `a` and `b`. To do this, we add `a` and `b` together and divide by 2. That gives us (0+2)/2 = 1.
4. Now we substitute `x` in the function `f(x)` with this average. That gives us `f(1) = 4*1 + 2 = 6`.
5. Lastly, we need to calculate Rn. This is done by subtracting `a` from `b` and then multiplying the result with `f(average of a and b)`. That gives us (2-0)* f(1) = 2 * 6 = 12.
Therefore, the Rn of the function f(x) = 4x + 2 on the interval [0,2] is 12.