1) F(x) = 2x⁶/6 - 3x³/3 + 7x⁴/4 + C = x⁶/3 - x³ + 7x⁴/4 + C
2) F(x) = 8x⁵/5 - 9x⁶/6 - 5x³/3 + C
3) f(x) = 1/х + 2/х +3х⁻² - 5х⁻³
F(X) = lnx + 2lnx + 3x⁻¹/-1 - 5x⁻²/-2 + С = 3lnx-3/х +5/2х² +С
4) f(x) = 2x⁻³ - 3/x + 7х⁻⁴ - х ⁻²
F(x) = 2x⁻²/-2 -3lnx +7x⁻³/-3 + x ⁻¹ + C = --1/х² - 3lnx - 7/3х³ +1/х + С
5) f(x) = x^1/2 + 2*x^1/3 - 4*x^2/5 + 8*x^5/4
F(x) = x^3/2 /3/2 + 2*х^4/3 / 4/3 - 4*х^7/5 /7/5 + 8*х^9/5 / 9/5 + С =
=2√х³/3 + 3∛x⁴/2 - 20*⁵√х⁷/7 + 40 ⁵√х⁹/9 + С
6) f(x) = 3x^1/2 +4*x^1/3 - 8*x^3/4 - x^7/5
F(x) =3x^3/2 /3/2 + 4 х^4/3 / 4/3 - 8х^ 7/4 /7/4 - х^12/5 /12/5 + С=
=2√х³ +3∛х⁴ - 32 ⁴√х⁷ /7 - 5 ⁵√х¹²/12 + С
7) f(x) = 2x^1/6 - 3x^1/2 + 7x^4/5 - 1/5 * x^1/3
F(x) = 2x^7/6 /7/6 - 3x^3/2/ 3/2 + 7x^ 9/5/ 9/5 -1/5*x^4/3/4/3 + С=
= 12⁶√х⁷/7 - 2√х³ + 35 ⁵√x⁹/9 - 5/20*∛х⁴ + С
8) f(x) = x^1/4 -2/3 * x^1/2 + 4x^7/6 - x^2/3
F(x) = x^5/4/5/4 - 2/3 * x^3/2/3/2 + 4x^13/6/13/6 - x^5/3/5/3 + С=
=4/5* ⁴√х⁵ - 4/9*√х³ + 24/13* ⁶√х¹³ - 3/5*∛х⁵ + С
9) F(x) = 3Sinx - 2Cosx - 5lnx +C