Write the definite integral for the summation: the limit as n goes to infinity of the summation from k equals 1 to n of the product of the square of the quantity 1 plus k over n squared and 1 over n.
the integral from x equals 0 to 1 of x squared, dx
the integral from x equals 1 to 2 of the quantity x plus 1 squared, dx
the integral from x equals 1 to 2 of x squared, dx
the integral from x equals 2 to 1 of x squared, dx

Sounds like you have

which translates to the sum of the areas of rectangles with dimensions (height) and (width). This is the right-endpoint Riemann sum for approximating the area under over the interval [1, 2].

Option C

Step-by-step explanation:

We are given that

We have to find the definite integral for the given summation.

We know that

Using the formula

a=1

Option C is true.

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

f is the midpoint of