Найти площадь фигуры: 1)y=(x+1)^2, y=0,x=0 2)y=x^3+1, y=1, x=2. Created by DI3. algebra-ru

Найти площадь фигуры: 1)y=(x+1)^2, y=0,x=0 2)y=x^3+1, y=1, x=2...

July 2022 1 6 Report

Найти площадь фигуры: 1)y=(x+1)^2, y=0,x=0 2)y=x^3+1, y=1, x=2

Answers & Comments

mikael2 1. (x+1)²=0 x=-1 F(x) = ∫(x+1)²d(x+1)=(x+1)³/3
F(0)=1/3
F(-1)=0 S=1/3

2. y=x³+1 y=1 x=2 x³+1=1 x=0 интегрирование от 0 до 2
F(x)=∫(x³+1)dx=x⁴/4+x F(0)=0 F(2)=16/4+2=6
S=6-0=6

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