Added sine table and cc0 mark
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@@ -475,7 +475,27 @@
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#colbreak()
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#bgBlock(fill: colorIntegral, [
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#subHeading(fill: colorIntegral, [Integral])
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Summen: $integral f(x) + g(x) d x = integral f(x) d x + integral g(x)$
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Vorfaktoren: $integral lambda f(x) d x = lambda f(x) d x$
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*Partial Integration*
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$integral u(x) dot v'(x) d x = u(x)v(x) - integral u'(x) dot v(x)$
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*Subsitution*
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$integral_(x_0)^(x_1) f\(underbrace(g(x), "t")\) dot g'(x) d x$
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1. Ersetzung: $ d x := d t dot 1/(g'(x))$ und $t := g(x)$
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2. Grenzen: $t_0 = g(x_0)$, $t_1 = g(x_1)$
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3. $x$-kürzen sich weg
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])
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]
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#bgBlock(fill: colorAllgemein, [
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