Defined integral

[tardy shore]

What have you tried

we are assuming n is a constant right

[remote wagon]

i didnt really tried, i dont find any solution

[tardy shore]

Maybe try a u substitution

[remote wagon]

https://youtu.be/zgLNBdtQT5Q

i found this,but didnt really helped

[tardy shore]

This a little bit more complicated

Do you know the binomial theorem?

[remote wagon]

yes

u mean (a+b)^n?

[tardy shore]

I think you should do a u substitution and use the binomial theorem

Yes

[remote wagon]

newton?

[tardy shore]

Yes

[remote wagon]

i dont really understand how to substitute so i can use later the binomial

[tardy shore]

what if you do u=x-1

[remote wagon]

so will be

((t+1)^n)/t

or "u" as you said

[tardy shore]

Yes

same thing

[remote wagon]

yea

[tardy shore]

I learn to use u in school but anything works

[remote wagon]

yea we use t

[tardy shore]

Now expand binomial theorem

[remote wagon]

should I write as (t+1)^n * 1/t

and expand

[tardy shore]

Ok

[tardy shore]

Yes now distribute t

then integrate

[remote wagon]

how should i integrate this

[tardy shore]

Why is the bound from 0 to 1

Well what is integral of t^n

dt

[remote wagon]

wait i am confused

[tardy shore]

it is t^(n+1)/(n+1) is it not

[remote wagon]

yea

thats the formula

[tardy shore]

So you can integrate

with t^n-1 and t^n-2 etc

[remote wagon]

and what about the combinations

i just write em before the integral?

[tardy shore]

Yes

[remote wagon]

oh ok

[tardy shore]

It's a constant

[remote wagon]

yes

[tardy shore]

I think

I think bounds are 2 and 1 no?

[remote wagon]

i think

[tardy shore]

Yes and you put 2 and 1 and calculate

[alpine hemlock]

Ig n is natural right? Divide the polynomials for n>1 for n=1 is easy to solve

[remote wagon]

do you have the time to solve it please, i do not understand what do you mean by divide

[alpine hemlock]

You dont know how to divide polynomials? Is like divide numbers by hand, the same algorithm

For example if you have x^2/(x-1) then by doing the division you get (x+1)+1/(x-1)

And its more easy to solve that integral

[somber saffron]

If yall aint in a university yet what is this question for?

[alpine hemlock]

The question is solve that integral Paius posted

Well at least guide him a bit

[somber saffron]

Yeah he has a tag saying he’s not in a university

[alpine hemlock]

So ig is for curiosity

[remote wagon]

i am in highschool

but I have a integral and this integral is part of my homework

[alpine hemlock]

Oh

[remote wagon]

and i do not have any idea

[alpine hemlock]

I gave you a hint

And no, Im not gonna solve it to send it to you. Thats not the purpouse of the server

[alpine hemlock]

But you already solve it using a change of variables and Newton formula for (t+1)^n

Its more clear and quick by that way

[remote wagon]

i am re-doing it

1 sec

[remote wagon]

.close