СРОЧНОООО для функції f(x)=1/x^2 знайдіть первісну F(x), якщо F(1/2)=-6. Created by swenolga. algebra-ru

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СРОЧНОООО
для функції f(x)=1/x^2 знайдіть первісну F(x), якщо F(1/2)=-6

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NNNLLL54

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$\displaystyle f(x)=\dfrac{1}{x^2}\\\\F(x)=\int \dfrac{dx}{x^2}=\dfrac{x^{-2+1}}{-2+1}+C=-\dfrac{1}{x}+C\\\\\\F(1/2)=-6\ \ \to \ \ \ -6=-\dfrac{1}{1/2}+C\ \ ,\ \ \ -6=-2+C\ \ ,\ \ \ C=-4\\\\\\\\\boxed{\ F(x)=-\dfrac{1}{x}-4\ }$

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Verified answer

ochen nado sprostit viraz

osnovi rivnobichnoyi trapeciyi dorivnyuyut 8 sm i 18 sm a visota 12 sm znajdit peaa5f3c9d02d0bf5beb41aac396a4f2ab 18715

u yashiku z yalinkovimi kulkami 20 sribnih i 40 chervonih yaka jmovirnist togo

dvi tochki yaki lezhat na kolah riznih osnov cilindra spolucheni vidrizkom znajd

m na 08 sm

s2f00673faf395ad75db2b99711226b789 32965

pid chas postrilu z gvintivki vilitaye kulya masoyu m shvidkistyu v yakoyi za modulem sh

kinci dvoh vidrizkiv dovzhini yakih 17 sm i 25 sm nalezhat dvom paralelnim plosh

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