Näherung für Integral
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Das in der Statistik häufig auftrete Integral _^x mathrme^-t^ ddt besitzt keine elementare Stammfunktion. Daher ist man auf eine Näherungslösung angewiesen. Entwickle den Integranden in eine Potenzreihe und egriere diese gliedweise.
Solution:
edt mathrme^-t^ + big-t^big + dfracbig-t^big^! + dfracbig-t^big^! + dfracbig-t^big^! + dots ex - t^ + dfract^! - dfract^! + dfract^! - dots ex _k^infty -^k dfract^kk! ed
Das in der Statistik häufig auftrete Integral _^x mathrme^-t^ ddt besitzt keine elementare Stammfunktion. Daher ist man auf eine Näherungslösung angewiesen. Entwickle den Integranden in eine Potenzreihe und egriere diese gliedweise.
Solution:
edt mathrme^-t^ + big-t^big + dfracbig-t^big^! + dfracbig-t^big^! + dfracbig-t^big^! + dots ex - t^ + dfract^! - dfract^! + dfract^! - dots ex _k^infty -^k dfract^kk! ed
Meta Information
Exercise:
Das in der Statistik häufig auftrete Integral _^x mathrme^-t^ ddt besitzt keine elementare Stammfunktion. Daher ist man auf eine Näherungslösung angewiesen. Entwickle den Integranden in eine Potenzreihe und egriere diese gliedweise.
Solution:
edt mathrme^-t^ + big-t^big + dfracbig-t^big^! + dfracbig-t^big^! + dfracbig-t^big^! + dots ex - t^ + dfract^! - dfract^! + dfract^! - dots ex _k^infty -^k dfract^kk! ed
Das in der Statistik häufig auftrete Integral _^x mathrme^-t^ ddt besitzt keine elementare Stammfunktion. Daher ist man auf eine Näherungslösung angewiesen. Entwickle den Integranden in eine Potenzreihe und egriere diese gliedweise.
Solution:
edt mathrme^-t^ + big-t^big + dfracbig-t^big^! + dfracbig-t^big^! + dfracbig-t^big^! + dots ex - t^ + dfract^! - dfract^! + dfract^! - dots ex _k^infty -^k dfract^kk! ed
Contained in these collections
-
Taylorreihen: Übungen by wg
| Title | Matched on |
|---|---|
| Exponentialfunktion Näherung | tags |
| Entwicklung der e-Funktion | tags |
| Lösung der Gleichung | tags |
| Potenzreihe von ln x | tags |
| Taylorreihe von Wurzel | tags |
Similar exercises (32)
| Title | Matched on |
|---|---|
| Exponentialfunktion Näherung | tags |
| Entwicklung der e-Funktion | tags |
| Lösung der Gleichung | tags |
| Potenzreihe von ln x | tags |
| Taylorreihe von Wurzel | tags |
| Taylorpolynom | tags |
| Potenzreihe von Wurzel | tags |
| Grenzwert von Sinus | tags |
| Sinusfunktion Taylorreihe | tags |
| Taylorpolynom von x^3 | tags |
| Funktionswert bei x0 | tags |
| Taylorreihe für Bruchfunktion | tags |
| Taylorreihe von Kosinus | tags |
| Taylorpolynom Sinus | tags |
| Bruchfunktion | tags |
| Taylorpolynom der Exponentialfunktion | tags |
| Wurzelfunktion | tags |
| Grenzwert von Funktionen | tags |
| Näherungsparabel von e^sin(x) | tags |
| Taylorentwicklung | tags |
| Wurzelziehung | tags |
| Taylorreihe an x0 | tags |
| Taylorpolynom von Cosinus | tags |
| Taylorreihe Sinus und Kosinus | tags |
| Taylorpolynom von 1/x | tags |
| Grenzwert einer Funktion | tags |
| Hyperbolischer Cosinus | tags |
| Taylorreihe Sinus | tags |
| Gleichung mit Arcsin | tags |
| Taylorpolynom für Wurzelfunktion | tags |
| Taylorpolynom von Logarithmus | tags |
| Polynom mit Taylor | tags |