https://padlet.com/tj_middleton/vrqcqc4exik Post your videos, website links, doodles, documents, etc. that will be HELPFUL and collaborative for your classmates in learning about definite integrals! Things had better be appropriate for academic discussions/sharing! en-us 2020-04-05 22:16:10 UTC 2023-02-15 00:22:52 UTC hello@padlet.com https://padlet.net/icons/png/1f60e.png tigger314abq https://padlet.com/tj_middleton/vrqcqc4exik/wish/493797611 Here is some calculator help aimed at the extension problem on the exploration but maybe useful elsewhere]]> 2020-04-05 22:59:57 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/493797611 tigger314abq https://padlet.com/tj_middleton/vrqcqc4exik/wish/493802718 With the three dot menu selector, you can choose Draw to write things on a touchscreen]]> 2020-04-05 23:10:01 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/493802718 tigger314abq https://padlet.com/tj_middleton/vrqcqc4exik/wish/493803305 You can post pics of work to help others or to ask questions of the group]]> 2020-04-05 23:11:11 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/493803305 tigger314abq https://padlet.com/tj_middleton/vrqcqc4exik/wish/493804690 PDF or other files can get posted. Make sure everything is appropriate academic work]]> 2020-04-05 23:13:43 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/493804690 jakob_myers_heldt https://padlet.com/tj_middleton/vrqcqc4exik/wish/498561981 So the last extra extra thing on the assignment is beyond me but I did find something cool called the midpoint rule. Basically instead of taking the right or left hand sum you sum the area of the rectangle formed by the midpoint of your boundaries. which if the concavity of the curve doesn't change is the most accurate way to estimate the area under it. Like this]]> 2020-04-08 12:16:57 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/498561981 jakob_myers_heldt https://padlet.com/tj_middleton/vrqcqc4exik/wish/498571039 I would guess just from looking that this would be more accurate but according to the website I found this is not as accurate as the midpoint rule.

]]> 2020-04-08 12:23:11 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/498571039 victoriademersseman https://padlet.com/tj_middleton/vrqcqc4exik/wish/499062016 I did this by doing a right hand Riemann Sum to start but the wording in the 3rd part, implies that we weren't supposed to do it until that part so I was wondering what we were supposed to have done in the first part or what other people did?  ]]> 2020-04-08 16:18:45 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/499062016 https://padlet.com/tj_middleton/vrqcqc4exik/wish/499537924 The definite integral is found by the area between the x-axis and the graph of the function. We know that this has a real life context (distance, volume, etc.) but what about the space above the graph? Can that tell us anything? Can we even find what that area would be since the graph is on a plane, that doesn't end? I did a little research and all I could find is about when the graph is below the x-axis. I did find the linked website to be helpful and interesting. ]]> 2020-04-08 21:22:03 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/499537924 https://padlet.com/tj_middleton/vrqcqc4exik/wish/501021698 I've noticed that all of the examples take place in the first quadrant and sometimes the fourth quadrant. Is it possible to find the definite integral when the interval is between negative x-coordinates? If it is possible, is the area in the second quadrant negative and the area in the third positive? I can see how with the x-axis being time it might not make sense, but I don't really see a reason why the area in the second and third quadrants couldn't be found in the same way as the other two if the function is defined.]]> 2020-04-09 17:40:52 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/501021698 saskiabauman https://padlet.com/tj_middleton/vrqcqc4exik/wish/501328661 If you did a right Riemann sum and a left Riemann sum and averaged those together would that be fairly accurate? I explored on geogebra and found in the equation I used that the midpoint Riemann sum was closer to the actual integral by 0.07 , but would that always be the case? Is this a strategy that people use because it seems more accurate than just using a left or right Riemann sum, but I couldn't find anything on the internet? ]]> 2020-04-09 21:54:58 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/501328661 https://padlet.com/tj_middleton/vrqcqc4exik/wish/502592167 This may be a little far fetched but I was wondering, if similar to anti-derivitives there was a way to find the original definite integral from the answer of the Riemann Sum. 
Do definite integrals in any way help us find anti-derivitves-- are they at all related?]]> 2020-04-11 00:36:50 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/502592167 https://padlet.com/tj_middleton/vrqcqc4exik/wish/502657653 The graph of problem B on the homework seems to have symmetrical points across x=6. Though this might not be the case, I cannot distinguish the difference. Thus, can I simply use the heights for the rectangles on one side for the other? Provided I account for the middle and the edge.]]> 2020-04-11 04:23:32 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/502657653 zachary_bravo https://padlet.com/tj_middleton/vrqcqc4exik/wish/503688485 I was wondering if or when we might get to explore something more like this so that we could get a different look at derivatives.]]> 2020-04-12 18:16:49 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/503688485 https://padlet.com/tj_middleton/vrqcqc4exik/wish/509559678 I have been trying to figure out how we would find the limit of the the definite integral exactly, and I was thinking back to how we found limits before (or derivatives of a function. Would it be possible to "solve" the equation with a theorem or possible to add or subtract the anti-derivatives at the two point since that would be showing the "original" function of that derivative which is the area/distance.]]> 2020-04-15 23:05:03 UTC https://padlet.com/tj_middleton/vrqcqc4exik/wish/509559678