I think I might have found a typo in my calculus text, "Forgotten Calculus". It would not be the first. Anyway, if it is I and not the author who is wrong, then I'm missing something fundamental, and would appreciate guidance.
The problem asks to find the integral of
(10x - 3) [(5x^2 - 3x + 17)^(1/7)] dx
My solution is
(7/8) [(5x^2 - 3x + 17)^(8/7)] + C.
The author's is
(7/8) [(5x^2 - 3x - 17)^(8/7)] + C.
Note that we differ only over whether one should add or subtract 17.