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

Question

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

anonymous · Answer

@Hero @Loser66

anonymous · Answer

@dumbcow @AravindG

anonymous · Answer

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

dumbcow · Answer

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

anonymous · Answer

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

dumbcow · Answer

we did...apply the formula to each term

anonymous · Answer

That's what I'm stuck on

loser66 · Answer

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.

anonymous · Answer

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

anonymous · Answer

Thanks @Loser66 and @oldrin.bataku! :)