consider the function f(x) = 9/x^3 -10/x^7 let F(x) be the antiderivatice of f(x) with F(1)=0

Question

then F(x)=

Answer 1

what's the trouble? Just use the power rule.

f(x) = 9x^-3 - 10x^-7
F(x) = -9/2 x^-2 + 10/6 x^-6 + C

Now use F(1)=0 to find C