How do you calculate the left and right Riemann sum for the given function over the interval [2,6], for #f(x)=5x^2+3x+2#?
First, we have to determine how we want to split each part. The more you split it, the more accurate it will be. To make things simple we are going to make each part one unit long. To find how many parts we are going to have we solve the for the following
We now have to get the points we want to plug in. We use our range adding our
For the right hand rule we use the following
We can then solve this
For the left hand rule we use this instead
We then solve