Let f(x)=2x^1-6x^5. Then the anti-derivative F(x) such that F(0)=16 is

Answer 1

If f(x) = 2x¹ - 6x⁵, then F(x) = x² - x⁶ + C. For F(0) = 16, write F(0) = 0² - 0⁶ + C = 16 or C = 16.

Then the anti-derivative F(x), such that F(0) equals 16, is F(x) = x² - x⁶ + 16.