Question

Вычислить интеграл ∫(4х^2+3x+1)*dx

Answer 1

= 4*(x^3/3) + 3*(x^2/2) + x + C =
= 4/3*x^3 + 1,5*x^2 + x + C

Answer 2

∫(4х^2+3x+1)*dx  = ∫4х^2 dx  + ∫ 3x dx + ∫ 1 dx  + c=
 =  4 * ∫х^2 dx  + 3 * ∫ x dx + ∫ 1 dx + c =
 = 4 * (x^3/3) + 3 *(x^2/2)  + x + c