I need help finding the anti-derivative of this function:
f(x) = the cubed root of x + 5/x^6
When I try to do the problem it comes out wrong:
f(x) = x^1/3 + 5(x^-6)
f(x) = x^(1 + 1/3)/1 + 1/3 + 5([x^(1 - 6)]/1 - 6)
f(x) = x^4/3/4/3 + 5([X^-5]/-5)
f(x) (4/3)x^4/3 - x^-5
Someone please help.
there should be no need to confirm. if the question is in fact exactly how you worded it, the book is wrong. double check. you have no idea how many times i've solved problems and got a different answer than the book, and after many trials and hours, i realized i actually read the question wrong
It's a basic "find the antiderivative" question so I didn't read the question wrong. Anyway, if you differentiate 3/4 x ^4/3 - x^-5 you get x^1/3 + 5x/6 , so I guess the book is wrong. I'll tell my professor about the mistake on Monday as I believe one of his colleagues is one of the co-authors of the book we're using.