[Geogebra Question] Build approximations to the definite integral 02(x2+1)dx using several
Riemann sums and compare with the exact result. (a) Define the given function x2+1. Graph of
the function is shown automatically on the plot area. You can "swich off" the graph using
circular button on the left from the input line. Similar switching buttons are present for all graphs
and plots you create in Geogebra. (b) You will use the command RectangleSum (x2+1,0,2,n,21)
to calculate and visualize the Riemann sum in the case when the interval [0,2] is divided into n
subintervals. The last argument 21 in the brackets instructs the command to use middle points of
subintervals in calculations of values of the function. The command RectangleSum produces
both numerical value of the Riemann sum and a plot of the rectangles. (c) Use the command
RectangleSum (x2+1,0,2,5,21) to obtain numerical values of the Riemann sums with 5
subintervals. To facilitate comparison, present numerical values as decimals. (d) Use the
command Integral (x2+1,0,2) to calculate exact value of the definite integral. Present numerical
value as a decimal. Save a screenshot of your calculations in (a)-(d) and submit it for your
assignment..
[Geogebra Question] Build approximations to the definite integral 02(.pdf
1. [Geogebra Question] Build approximations to the definite integral 02(x2+1)dx using several
Riemann sums and compare with the exact result. (a) Define the given function x2+1. Graph of
the function is shown automatically on the plot area. You can "swich off" the graph using
circular button on the left from the input line. Similar switching buttons are present for all graphs
and plots you create in Geogebra. (b) You will use the command RectangleSum (x2+1,0,2,n,21)
to calculate and visualize the Riemann sum in the case when the interval [0,2] is divided into n
subintervals. The last argument 21 in the brackets instructs the command to use middle points of
subintervals in calculations of values of the function. The command RectangleSum produces
both numerical value of the Riemann sum and a plot of the rectangles. (c) Use the command
RectangleSum (x2+1,0,2,5,21) to obtain numerical values of the Riemann sums with 5
subintervals. To facilitate comparison, present numerical values as decimals. (d) Use the
command Integral (x2+1,0,2) to calculate exact value of the definite integral. Present numerical
value as a decimal. Save a screenshot of your calculations in (a)-(d) and submit it for your
assignment.
![[Geogebra Question] Build approximations to the definite integral 02(x2+1)dx using several
Riemann sums and compare with the exact result. (a) Define the given function x2+1. Graph of
the function is shown automatically on the plot area. You can "swich off" the graph using
circular button on the left from the input line. Similar switching buttons are present for all graphs
and plots you create in Geogebra. (b) You will use the command RectangleSum (x2+1,0,2,n,21)
to calculate and visualize the Riemann sum in the case when the interval [0,2] is divided into n
subintervals. The last argument 21 in the brackets instructs the command to use middle points of
subintervals in calculations of values of the function. The command RectangleSum produces
both numerical value of the Riemann sum and a plot of the rectangles. (c) Use the command
RectangleSum (x2+1,0,2,5,21) to obtain numerical values of the Riemann sums with 5
subintervals. To facilitate comparison, present numerical values as decimals. (d) Use the
command Integral (x2+1,0,2) to calculate exact value of the definite integral. Present numerical
value as a decimal. Save a screenshot of your calculations in (a)-(d) and submit it for your
assignment.](https://image.slidesharecdn.com/geogebraquestionbuildapproximationstothedefiniteintegral02-230331095514-4145ca1c/85/Geogebra-Question-Build-approximations-to-the-definite-integral-02-pdf-1-320.jpg)
