Question

Помогите пожалуйста. 3-пример

Answer 1

$y=3-x^2; ,; ; y=x^2+1\\Tochki; peresecheniya:; ; 3-x^2=x^2+1; ,; ; 2x^2=2; ,; ; x^2=1; ,; ; x=pm 1\\y(1)=y(-1)=2y=3-x^2; ; to ; ; x^2=3-y\\y=x^2+1; ; to ; ; x^2=y-1\\V=pi intlimits^a_b{x^2(y)}, dy\\V=V_1+V_2=pi intlimits^2_1, (y-1), dy+pi intlimits^3_2, (3-y), dy=\\=pi cdot frac{(y-1)^2}{2}Big |_1^2+pi cdot frac{-(3-y)^2}{2}Big |_2^3=frac{pi}{2}cdot Big ((1-0)-(0-1)Big )=frac{pi}{2}cdot 2=pi$