Integration problem: is my textbook wrong?
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.
Re errors in Barbara Lee Bleau's "Forgotten Calculus"
The edition I've been discussing is the 3rd edition, 2002, ISBN 0-7641-1998-2.
I'm almost through with the book and will be posting a list of errata with the Amazon reviiew I'll write. If you'd like me to send you the list directly let me know.
I should say that the typos aside -- and that's a big aside -- it is still an excellent text for the likes of me (fairly average math ability) and students of lower ability. She certainly has a gift for clear explanation. I've done every exercise in 26 of the 28 units so far, some of them more than once. At the end of the day, I do feel I've got a grasp of the material which I wouldn't have imagined when I started.
In turn, I have a question for you -- do you know of an inexpensive fairly accesible text for multivariate calculus? Bleau saves this for the final (brief) chapter and I think I'll need to go into more depth in order to handle the stochastic modelling which my graduate program (which starts in 4 months) will involve.
Anyway, thanks again for your help,