Enter a primitive function F (x) to the function f (x) = 6x^7 - 2x + A.

Answer 1

Primitive function is a function whose derivative is equal to the original function.

To find a primitive function you have to integrate your function.

∫ ( 6 x^7 - 2 x + A ) dx =

∫ 6 x^7 dx - ∫ 2 x dx + ∫ A dx =

6 ∫ x^7 dx - 2 ∫ x dx + A ∫ dx =

6 x^8 / 8 - 2 x^2 / 2 + A x + C =

2 ∙ 3 x^8 / 2 ∙ 4 - x^2 + A x + C =

3 / 4 x^8 - x^2 + A x + C