Question

Помогите решить задачу пожалуйста!

Answer 1

$a) y = 2x+3; y = 0, x=-1, x=2\S = intlimits^a_b {f(x)} , dx\S = intlimits^2_{-1} {2x + 3} , dx = (x^2 + 3x)|^2_{-1} = 4 + 6 - 1 + 3 = 12\b) a) y = -3x; [2;4]\V = pi intlimits^a_b {f^2(x)} , dx\V = piintlimits^4_2 {9x^2} , dx = 9pi(frac{x^3}{3}|^4_2) = 9pi*frac{56}3 = 168pi\b) y^2 = x +3, [-2; 1]\y = sqrt{x+3}\V = piintlimits^1_{-2} {x+3} , dx = pi (frac{x^2}2 + 3x)|^1_{-2} = frac{7pi}2 + 4pi = frac{15pi}2$