Question

Will award medal!
Find the most general antiderivative.
∫ (2x^3-7x+2) dx

Answer 1

@Hero @Loser66

Answer 2

@dumbcow @AravindG

Answer 3

\[\int\limits_{}^{} x ^{n}= \frac{ x ^{n+1} }{ n+1 }\]

Answer 4

its a polynomial, these integrals are straightforward
\[\int\limits x^{n} = \frac{1}{n+1} x^{n+1}\]

Answer 5

Could you help me with the steps on what to do to get the answer?

Answer 6

we did...apply the formula to each term

Answer 7

That's what I'm stuck on

Answer 8

why are you stuck?? quite easy.
\[\int (2x^3 - 7x +2) dx = \int 2x^3dx-\int 7xdx +\int 2dx\]
no substitute, no chain rule, no product rule, no.... nothing, hehehe, just take integral as usual. that's it.

Answer 9

make sure to remember... the most GENERAL antiderivative is that with an undetermined constant \(C\) ;-)

Answer 10

Thanks @Loser66 and @oldrin.bataku! :)