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.
