# Changes

## Sinc function

, 18:41, 19 December 2011
Integration
$\int_{-\infty}^\infty \operatorname{sinc} x \, dx = \pi$

===Second antiderivative===

The second antiderivative is:

$\int (\int \operatorname{sinc} x \, dx) \, dx = x \operatorname{Si}(x) + \cos x + C_1x + C_0$

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

===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 $\operatorname{Si}, \sin, \cos$.
==Taylor series and power series==
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