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.
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.