When rounded to the nearest hundredth, the area under the graph of f(x) = x2 + 1 from x = 1 to x = 4 with 6 subintervals using the midpoint sum is a)20.38. b)23.94. c)27.88. d)33.47. My learning platform is rather bad at explaining math so if anyone sees this, I would take learning how to do this over an answer any day

 b) 23.94

Step-by-step explanation:

You are trying to find the area under the curve.  Area = height x width.

Height is the y-value at the given coordinate --> f(x)

Width is the distance between the x-values --> dx

First, let's figure out dx:  the distance from 1 to 4 is 3 units. We need to divide that into 6 sections because n = 6 --> dx = 1/2

So the intervals are when x = {1, 3/2, 2, 5/2, 3, 7/2, 4}

For midpoint sum, we need to find the midpoint of the intervals

Next, let's find the height for each of the midpoints:

f(x) = x² + 1

Now, let's find the Area: A = f(x) dx:

i believe it is d.) buddhism and e.) hinduism