Solution 2.1:3a

From Förberedande kurs i matematik 2

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The notation ''<math>\int{\sin x\,dx}</math>'' is called the indefinite integral of
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<center> [[Image:2_1_3a.gif]] </center>
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<math>\sin x</math>
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and means all primitive functions of
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<math>\sin x</math>.
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Because
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<math>\sin x</math>
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is a standard function, we know from the course notes that its primitive functions are
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<math>\int{\sin x\,dx}=-\cos x+C</math>
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where
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<math>C</math>
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is an arbitrary constant.

Revision as of 13:36, 17 October 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.

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