Find f given f'' and initial conditions (KristaKingMath)

Learn how to find f(x), the original function, given f''(x), f double prime of x, or the second derivative of f, and initial conditions. Take the integral of f''(x) to get f'(x), then take the integral of f'(x) to get f(x). Make sure to add the constant of integration after each integration, then plug in both initial conditions to f(x). This will give you a system of equations that you can solve for both constants of integration.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[lennyadams]

Krista King is one of the best math tutors the internet has to offer!
Thank you for all of your help, Krista!
=)

[imranaslam]

Thanks a million kristii .., , explained it so well made it really easy to understand everybit of this concept.., ,

[nicolekim]

The bell rang before my teacher could finish showing us how to solve these problems. Thank goodness I found your video, it helped a lot!!

[kristakingmath]

I was a psychology major. I'm glad you think the videos are helpful!! :)

[tonymorfea]

You explain this well for me Wish textbooks would explain these concepts as you Then math would be more enjoyable

[joshuarose]

Thank you so much. You helped end a 1 hour session of trying to figure this out on my own for WebWork.

[konde]

Thank u for the video, I'm studing english (i'm mexican) and i understood easily, continue with this job, )

[tommywalker]

Youve done a better job in 10 minutesThan my professor and tuttor

[MsReeses]

very concise and simple video. Well done.

[MsSubway]

you're good, loved and appreciated

[_bupe]

This was really helpful. Didn't know I had to do all that for the conditions

[domnotbomb]

This video may be old but still a huge help thank you!

[calculotv]

Great video.
You are very sympathetic.

[Ggmv]

Thank you for the clear explanation :)

[seyeruoynepotsuj]

Do you know where I can get great help like this for Vector Calculus??? BTW, amazing videos. Never stop!!!!

[AntAlt]

this sort of problem is in my hw :D thanks for the help

[stazzeldskater]

what do you do hear if its not f(0) but something like f(2) instead????

[kristakingmath]

i have some on youtube, and integralcalc(dot)com. also check out patrickjmt(dot)com and khanacademy(dot)org. :D