Functions maths question

Hi please can I have help on this question, I don’t know why it can’t be p arrow both ways a because can’t you integrate back to get y.
Here is the question: https://app.gemoo.com/share/image-annotation/619736192799641600?codeId=PajLJ5b7E2zjm&origin=imageurlgenerator

Thanks
Original post by anonymous294
Hi please can I have help on this question, I don’t know why it can’t be p arrow both ways a because can’t you integrate back to get y.
Here is the question: https://app.gemoo.com/share/image-annotation/619736192799641600?codeId=PajLJ5b7E2zjm&origin=imageurlgenerator

Thanks
Maybe
+C
Original post by mqb2766
Maybe
+C
Oh so do you need a +c which is why it wont give y? Thank you!
Original post by anonymous294
Oh so do you need a +c which is why it wont give y? Thank you!
Pretty much. All functions
3x^5 - 4x^2 + 12x + C
where C is a constant will have that derivative. So P=>Q, but there are an infinite number of other "Ps" (different honzero values of C) which also have the same derivative. So saying that Q=>P is incorrect because there are also an infinite number of other functions with a non-zero C.
(edited 1 month ago)
Ok thanks!!