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Suatu studi sosiolog mempelajari distribusi pendapatan dalam masyarakat industri dan berhasil mengumpulkan data yang ditampilkan berikut.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
$x$$0$$0.125$$0.25$$0.375$$0.5$$0.625$$0.75$$0.875$$1$
$L(x)$$0$$0.0063$$0.0631$$0.1418$$0.2305$$0.3342$$0.4713$$0.6758$$1$
\n

Misal $L(x)$ menyatakan bagian dari total pendapatan masyarakat yang diperoleh 100$x$% penerima gaji terendah di masyarakat. 

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Gunakan informasi tersebut untuk menentukan aproksimasi dari $\\displaystyle\\int_0^1 L(x)\\, dx$ dengan menggunakan Aturan Trapesium dengan $n=8$.

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Gunakan informasi tersebut untuk menentukan aproksimasi dari $\\displaystyle\\int_0^1 L(x)\\, dx$ dengan menggunakan Aturan Simpson dengan $n=8$.

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Tentukan aproksimasi dari Indeks Gini dengan menggunakan Aturan Trapesium dengan $n=8$.

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Tentukan aproksimasi dari Indeks Gini dengan menggunakan Aturan Simpson dengan $n=8$.

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