Find the equation of the function f whose graph passes through the point ( 0, 5/3) and whose derivative is f '(x) = x 9 − x2 .

Question

f '(x) = x9 − x2

..

Answer 1

f(x)=∫ x9 -x² dx

=x¹⁰/10 -x³ /3 +c c is constant

the function passes through the point (0,5/3)

5/3= c

f(x)=x¹⁰ /10 -x³ /3 +5/3