Question

помогите пожалуйста 5 задание

Answer 1

а) int ot -1 do 1 (9x^2+12x+4)dx = (9x^3/3+12x^2/2 + 4x) | ot -1 do 1 = (3x^3 + 6x^2 + 4x) | ot -1 do 1 = 3 + 6 + 4 - 3*(-1) - 6 - 4*(-1) = 14

б) = int ot -pi/4 do pi/4 (sin2x) d(2x)/2 = 1/2 * (-cos2x) | ot -pi/4 do pi/4 = -1/2 ( cos 2*pi/4 - cos (-2*pi/4)) = -1/2 (cospi/2 - cos (-pi/2)) = 0

в) int ot -1 do 0 (2x-4)^10 d(2x-4)/2 = 1/2* (2x-4)^11/11 | ot -1 do 0 = 1/2* ( (2*0-4)^11/11 - (2*(-1)-4)^11/11) = 1/2 * ((-4)^11/11 - (-6)^11/11)