ПОМОГИТЕ, АЛГЕБРА! 6 ЗАДАНИЕ!. Created by anastasia4808. algebra-ru

Y=5/xy=6-xГрафик во вложении.Ответ: 12-5ln5

ПОМОГИТЕ, АЛГЕБРА! 6 ЗАДАНИЕ!...

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ПОМОГИТЕ, АЛГЕБРА! 6 ЗАДАНИЕ!

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wangross Y=5/x
y=6-x
График во вложении.

$S= \int\limits^5_1 {(6-x- \frac{5}{x} )} \, dx = \int\limits^5_1 {6} \, dx -\int\limits^5_1 {x} \, dx -5\int\limits^5_1 { \frac{1}{x} } \, dx = \\ \\ =6x\big|^5_1- \frac{x^2}{2} \big|^5_1-5lnx\big|^5_1=6*5- \frac{25}{2} -5ln5-(6*1- \frac{1}{2} -5ln1)= \\ \\ =30-12,5-5ln5-5+0,5=12-5ln5 \\ \\ S=12-5ln5$

Ответ: 12-5ln5

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