Question

Last one
Consider the function f(x) = 8/x^{3}-4/x^{5}.
Let F(x) be the antiderivative of f(x) with F(1) = 0.
Then F(5) equals

Answer 1

f(x)=\[\frac{ 8 }{ x^3 }-\frac{ 4 }{ x^5 }\]

Answer 2

\[8x ^{-3}\]
\[4x ^{-5}\]

Answer 3

\[4x ^{-2}\] or \[\frac{ 4 }{ x^2 }\]
and
\[x ^{-4}\] or\[\frac{ 1 }{ x^2 }\]

Answer 4

\[\frac{ 1 }{ x^4 }\]

Answer 5

\[F(x)=\frac{ 1 }{ x^4 }-\frac{ 4 }{ x^2 }\]