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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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