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Diketahui daerah D 1 dibatasi oleh y = x 2 1 y = x , x = 2 1 . Daerah D 2 dibatasi oleh y = x 2 1 y = x dan x = 2. Perbandingan luasD 1 dan luas D 2 adalah ...

Diketahui daerah D₁ dibatasi oleh $y = \frac{1}{x ^{2}} y = x, x = \frac{1}{2}$ . Daerah D₂dibatasi oleh $y = \frac{1}{x ^{2}} y = x$ dan x = 2. Perbandingan luas D₁ dan luas D₂ adalah ...

5 : 8
7 : 8
5 : 4
6 : 8
3 : 8

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$fraction numerator straight D 1 over denominator D 2 end fraction space equals space fraction numerator integral subscript begin display style 1 half end style end subscript superscript 1 begin display style 1 over x squared end style begin display style space end style begin display style minus end style begin display style space end style begin display style x end style begin display style space end style begin display style d end style begin display style x end style over denominator integral subscript 1 superscript 2 begin display style space end style begin display style x end style begin display style space end style begin display style minus end style begin display style space end style begin display style 1 over x squared end style begin display style space end style begin display style d end style begin display style x end style end fraction fraction numerator straight D 1 over denominator D 2 end fraction space equals space fraction numerator negative x to the power of negative 1 end exponent space minus space begin display style 1 half end style x squared space vertical line presubscript begin display style 1 half end style end presubscript presuperscript 1 over denominator begin display style 1 half x squared space plus space x to the power of negative 1 end exponent vertical line presubscript 1 presuperscript space 2 end presuperscript end style end fraction space equals space fraction numerator begin display style 5 over 8 end style over denominator 1 end fraction space equals space 5 over 8$