Processing Math: Done
2.1 Übungen
Aus Online Mathematik Brückenkurs 2
(Unterschied zwischen Versionen)
K (Robot: Automated text replacement (-[[2.1 Introduction to integrals +[[2.1 Einführung zur Integralrechnung)) |
K (Robot: Automated text replacement (-Exercises +Übungen)) |
||
| Zeile 3: | Zeile 3: | ||
| style="border-bottom:1px solid #000" width="5px" | | | style="border-bottom:1px solid #000" width="5px" | | ||
{{Not selected tab|[[2.1 Einführung zur Integralrechnung|Theory]]}} | {{Not selected tab|[[2.1 Einführung zur Integralrechnung|Theory]]}} | ||
| - | {{Selected tab|[[2.1 | + | {{Selected tab|[[2.1 Übungen|Übungen]]}} |
| style="border-bottom:1px solid #000" width="100%"| | | style="border-bottom:1px solid #000" width="100%"| | ||
|} | |} | ||
Version vom 13:18, 10. Mär. 2009
| Theory | Übungen |
Exercise 2.1:1
Interpret each integral as an area, and determine its value.
| a) |  2−12dx | b) | 01(2x+1)dx |
| c) | 02(3−2x)dx | d) | 2−1 xdx |
Answer | Solution a | Solution b | Solution c | Solution d
Laden...Exercise 2.1:2
Calculate the integrals
| a) | 02(x2+3x3)dx | b) | 2−1(x−2)(x+1)dx |
| c) | 49  x−1x dx | d) | 14x2xdx |
Answer | Solution a | Solution b | Solution c | Solution d
Exercise 2.1:3
Calculate the integrals
| a) | sinxdx | b) | 2sinxcosxdx |
| c) | e2x(ex+1)dx | d) | xx2+1dx |
Answer | Solution a | Solution b | Solution c | Solution d
Exercise 2.1:4
| a) | Calculate the area between the curve  x45 |
| b) | Calculate the area under the curve |
| c) | Calculate the area of the finite region between the curves |
| d) | Calculate the area of the finite region enclosed by the curves  y=1 |
| e) | Calculate the area of the region given by the inequality, yx+2 |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e
Exercise 2.1:5
Calculate the integral
| a) | dxx+9−x |
| b) | sin2x dx |
