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Numerade Educator

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Problem 26 Easy Difficulty

Find $ f $.

$ f"(x) = x^6 - 4x^4 + x + 1 $

Answer

$f(x)=\frac{x^{8}}{56}-\frac{4 x^{1}}{30}+\frac{x^{3}}{4}+\frac{x^{2}}{2}+c x+y$

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Video Transcript

are. So we're being told to ask to find F and which hold after Bill Prime of X. So let's go ahead and take the interval after half double time. Max is with the extra six minus four excellent Ford plus Act less one DX. So this is going to come out to be extra seventh over seventy minus for X to the fifth over five plus X square over two plus eggs plus C. Now we take the integral of Exodus seventy seven. So this is going to be we checked Angela's dis expression, basically. So this is a prime. And so we want to get after Beck. So we're going to take the intra girl again of this function to get effort back, and this is going to be or one seven. So over a one seven times axe to the eight, you are a and then this will be a minus and then we'LL pull out a constant four fifth over time Accident. Six over six and plus local outta Compton. One half yes, cube or three. And that's where we have X squared over two and plus see X plus with some constant life. So now this is going to be simplified. So we'LL bring it over here after Rex, it is equal to accident. Eight over thirty six and then we're going to have for accidents. Sixth over thirty. Andi, we're going to have its cube. Well, the six and then, like sex way over too. Plus C x, that's why. And this is our function after back. There you go.