help

[west hinge]

help!

my working:

help

[compact cedar]

First part of second page is wrong I think

[west hinge]

how @compact cedar

[compact cedar]

U cant square the bottom and top

It's not the same

Atleast that's what I'm assuming you did

[west hinge]

why not theyre both the same

thats racist

[compact cedar]

😭😭

[west hinge]

square the top and it becomes u-1 / 16

and square the bottom it becauses u^2

[fast hornet]

arctan standard integral??

idk if you've done that yet

[compact cedar]

Brother U can't square the top and bottom of a fraction and it's the same

[west hinge]

?

i swear this is right ^

[compact cedar]

Like 3/4 x 3/4 is not the same as 3/4

^^^

Trig sub

I was thinking of using sum else tho icl

4sinhu

Or would that be wrong

[fast hornet]

wrong

[west hinge]

i havent learned hyperbolic

[compact cedar]

Wait would it be 1/4 sinhu

[west hinge]

this is how R2drew2 did it

[compact cedar]

Silly me

[fast hornet]

yeh it's a standard integral

just parts + arctan formula

[west hinge]

bro icl this question is making me pregnant imma try this tmr

[queen oracle]

By parts?

[compact cedar]

Ahh What is a standard integral

[fast hornet]

ones you should know

[queen oracle]

What’s the answer

[compact cedar]

Oh shet I js make the sub up as i go

[west hinge]

this is the whole question

[queen oracle]

Oh I answered this one

[compact cedar]

Oh so since it wants the answer to have arctan u use tan sub?

Since icl I would've done it a bit differently but I'm not sure it'd work

[fast hornet]

you rarely actually do the sub

[compact cedar]

I'm trying it with 1/4 sinhu is there a reason why it wouldn't work

[fast hornet]

yeh cus when you differentiate arsinh,arcosh and arcsin and arccos you get a square root on the denominator

[compact cedar]

Ohh so since it looks like an arctan u use tan sub?

[fast hornet]

but when you differentiate artanh and arctan you don't get a square root on the denominator

[fast hornet]

yeh

[compact cedar]

Ah I was js using anything good to knoa

Thanks bro

Also say if the trig integration looks like u can write it down from the equation sheet am I fine to do thst or should I show working for marks?

[west hinge]

Guys

Question:

My working:

I made a division mistake here: underlined

@hollow arch

[fast hornet]

you're still tryna integrate this right?

[west hinge]

Yh

[fast hornet]

So at the end of this you should get … - integral of 2x^2/(1+16x^2) dx

you can kind of see the top part is almost a multiple of the bottom part so it can be written as
integral of (2x^2 + 1/8)/(1+16x^2) - (1/8)/(1+16x^2) dx

And now the numerator of the first fraction is a multiple of the denominator so
It’s now the integral of 1/8 - (1/8)/1+16x^2 dx

Factor out the 1/8 and use standard result for arctan

I know it’s different to how you’ve done it but you HAVE to get used to using these standard results and applying them

[sinful reef]

@west hinge @fast hornet

[fast hornet]

Yeh that’s what I got

[sinful reef]

Noice

[sinful reef]

@west hinge I would use partial fraction for this