Question

Find f(x) where f'(x) = 2x^4+4x^3-x/x^3

Answer 1

`(2)/(5)x^(5) +x^(4)+(1)/(x) + C`

Explanation:

Find the antiderivative of 2x^4+4x^3-x/x^3

`(2x^(4+1 ) )/(4+1)` +
`(4x^(3+1) )/(3+1)` +1/x + C

`(2)/(5)x^(5) +x^(4)+(1)/(x) + C`