Question 1156762: Find all the antiderivatives for the following function. Check your work by taking the derivative.
f(y)= − 8/y^9
(use C as the arbitrary constant)
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52824)   (Show Source):
You can put this solution on YOUR website! .
Anti-derivative is
F(y) =  +  ,
where " C " is an arbitrary constant.
It is "a Table integral".
You may check the correctness, if you want.
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What is written in the post by @MathLover1, is A B S U R D, which I can not comment.
I have no stretch for it . . .
I understand that the person can make a mistake, a typo, an error in calculations.
But in this case, it is far from the common sense boundaries . . .
What every student should understand. looking in this problem, is that
- "y" is not a function here.
- "y" is an independent variable, same as "x", "t", "w" etc.
- "y" is a dumb variable, which can be replaced by any other symbol.
- if "y" is used, then the place for the independent variable is just occupied, and there is NO PLACE
for other variable symbol to use.
I could expect different things, but not this one from the tutor . . .
Answer by MathLover1(20850)  (Show Source):
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