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10YANA22
@10YANA22
July 2022
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обчисліть плшощу фігури, обмеженої лініями у=4-х^2 , y=2-x
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nafanya2014
Verified answer
S=∫²₋₁(4-x²-(2-x))dx=∫²₋₁(4-x²-2+x)dx=∫²₋₁(2-x²+x)dx=(2x-(x³/3)+(x²/2))|²₋₁=
=2·2-(2³/3)+(2²/2)-(2·(-1)-((-1)³/3)+(-1)²/2=4,5
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Verified answer
S=∫²₋₁(4-x²-(2-x))dx=∫²₋₁(4-x²-2+x)dx=∫²₋₁(2-x²+x)dx=(2x-(x³/3)+(x²/2))|²₋₁==2·2-(2³/3)+(2²/2)-(2·(-1)-((-1)³/3)+(-1)²/2=4,5