Question

Найдите F(1), если F(x) - первообразная для f (x), f (x) = 2x+3 и F(3)=12

Answer 1

F(x) = ∫ f(x) = ∫ (2x + 3)dx = x^2 + 3x + C

F(3) = 9 + 3*6 + C = 18 + C = 12
C = 12 - 18 = - 6

F(x) = x^2 + 3x - 6
F(1) = 1^2 + 3 - 6 =  - 2