Вопрос школьника по предмету Математика
Найти площадь фигуры, ограниченной линиями y=-3x^2+2x, y=0
Ответ учителя по предмету Математика
Ответ:у=3-х²найдем нули
3-х²=0;х²=3;х=±√3
S=S1+S2= интеграл( 0 до 1)2xdx+ интеграл(1 до√3)(3-x²)dx
2x²/2( 0___1)+(3x-x³/3)(1______√3)=
1+(3*√3-(√3)³/3-(3-1/3)=
1+3√3-3√3/3-3+1/3=
-2+2√3+1/3=
(-6+6√3+1)/3=(6√3-5)/3
Пошаговое объяснение:
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