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8 lines
271 B
TeX
8 lines
271 B
TeX
\section*{Aufgabe 4}
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\begin{align*}
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I &= \int_0^1 \frac{1}{1+4x} dx\\
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&= \int_0^{0.5} \frac{1}{1+4x} dx +\int_{0.5}^{1} \frac{1}{1+4x} dx\\
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&= (0.5 - 0) \cdot \frac{f(0) + f(0.5)}{2} + (1 - 0.5) \cdot \frac{f(1) + f(0.5)}{2} \\
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&= \frac{7}{15}
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\end{align*}
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