Primitive function without expansion? (1 Viewer)

[lolitaaa]

Can you fing the primitive function of this without expanding?

(x+1)(x-2)(x-5)

What about this one:

(x^2 +1)^6

 

[HeroicPandas]

I don't think so lol

But for the second one with the power of 6, how would YOU expand it?

 

[Shadowdude]

I don't think so lol

But for the second one with the power of 6, how would YOU expand it?

Well, the 3u kids could do it easily... not sure about 2u only peeps.

 

[QZP]

Well, the 3u kids could do it easily... not sure about 2u only peeps.

One of the questions in my 4u exam required binomial expansion. I tried expanding it like (x^2 + 1)(x^2 + 1)(x^2 + 1)(x^2 + 1)(x^2 + 1)(x^2 + 1) = ...
before I realised I was an idiot LOL

 

[RealiseNothing]

Can you fing the primitive function of this without expanding?

(x+1)(x-2)(x-5)

What about this one:

(x^2 +1)^6

First one is a polynomial with roots -1, 2, 5









Integrate.

 

[Shadowdude]

First one is a polynomial with roots -1, 2, 5









Integrate.

They don't learn that in 2u, not for cubics, I believe.

 

[RealiseNothing]

They don't learn that in 2u, not for cubics, I believe.

Well, OP have fun expanding that lol.

 

[QZP]

I'd argue that manual expansion would be shorter than RealiseNothing's way

 

[RealiseNothing]

I'd argue that manual expansion would be shorter than RealiseNothing's way

Depends, if you can do mental arithmetic fast my way is fairly short, otherwise I'd probs agree with you.

 

[bongoli]

Correct me if i'm wrong, but i believe it goes along the lines of something like this;

(ax+b)^n+1
---------------
a(n+1)

n- power
ax+b - function
a - differentiated form of function

All done without expansion. I'm pretty sure if you check it, you also get the same answer with expansion.

 

[Shadowdude]

Correct me if i'm wrong, but i believe it goes along the lines of something like this;

(ax+b)^n+1
---------------
a(n+1)

n- power
ax+b - function
a - differentiated form of function

All done without expansion. I'm pretty sure if you check it, you also get the same answer with expansion.

Only works for polynomials of degree one, or less.


Integrating



with this format would mean



or something