Lösung 2.1:3a
Aus Online Mathematik Brückenkurs 2
(Unterschied zwischen Versionen)
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- | { | + | The notation ''<math>\int{\sin x\,dx}</math>'' is called the indefinite integral of |
- | < | + | <math>\sin x</math> |
- | { | + | and means all primitive functions of |
+ | <math>\sin x</math>. | ||
+ | |||
+ | Because | ||
+ | <math>\sin x</math> | ||
+ | is a standard function, we know from the course notes that its primitive functions are | ||
+ | |||
+ | |||
+ | <math>\int{\sin x\,dx}=-\cos x+C</math> | ||
+ | |||
+ | |||
+ | where | ||
+ | <math>C</math> | ||
+ | is an arbitrary constant. |
Version vom 13:36, 17. Okt. 2008
The notation \displaystyle \int{\sin x\,dx} is called the indefinite integral of \displaystyle \sin x and means all primitive functions of \displaystyle \sin x.
Because \displaystyle \sin x is a standard function, we know from the course notes that its primitive functions are
\displaystyle \int{\sin x\,dx}=-\cos x+C
where
\displaystyle C
is an arbitrary constant.