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# Changes

→Integration

<math>\int_{-\infty}^\infty \operatorname{sinc} x \, dx = \pi</math>

===Second antiderivative===

The second antiderivative is:

<math>\int (\int \operatorname{sinc} x \, dx) \, dx = x \operatorname{Si}(x) + \cos x + C_1x + C_0</math>

To obtain this, we use [[integration by parts]] to integrate the function <math>\operatorname{Si}(x)</math>.

===Higher antiderivatives===

Higher antiderivatives of the sinc function can be computed in the same manner using [[integration by parts]]. Up to the arbitrary polynomial additive, the antiderivative is expressible as a polynomial linear combination of <math>\operatorname{Si}, \sin, \cos</math>.

==Taylor series and power series==