Thread: Anti-differentiation

I can't do this questio although my teacher helped me I still can't do it, please check.

y''= x+2 and if x=3, y'=7 and y=12.
(hint: evaluate constants as they are created)

My failed attempt:

y'=(x^2)/(2) + 2x + C = 7 when x=3.
9/2 + 6 + C=7
C=-3.5

And I also know that (x^3)/(6) +x^2 +7 = 12
That is the second derivative.
I hope what I have written makes sense.
Thanks

Originally Posted by Awsom Guy

I can't do this questio although my teacher helped me I still can't do it, please check.

y''= x+2 and if x=3, y'=7 and y=12.
(hint: evaluate constants as they are created)

My failed attempt:

y'=(x^2)/(2) + 2x + C = 7 when x=3.
9/2 + 6 + C=7
C=-3.5

And I also know that (x^3)/(6) +x^2 +7 = 12
That is the second derivative.
I hope what I have written makes sense.
Thanks

we have

then



when

Originally Posted by dedust

we have

then



when

Wait where did the K come from, sorry I dont follow.

I am soooo sorry for being dumb...de dust has given me what I have to do thanks.

Originally Posted by Awsom Guy

Wait where did the K come from, sorry I dont follow.

another constant from the indefinite integral.