How is 1+x^2 = 1/(1+x^2)

[trim dune]

I was solving an integration while i ran across this. can somebody please tell me where and what i did wrong

[patent flame]

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[sudden swift]

negative sign should have turned into a positive sign

[trim dune]

where particularly?

[sudden swift]

since ln(x) = -ln(1/x)

[trim dune]

it still doesnt match no?

i tried solving integration of arc tanx w/ two methods

both of them lead me to diff ends

want me to share full context?

[sudden swift]

that would be nice

[trim dune]

a sec

@sudden swifthere u go

i basically tried methods to solve inverse functions

and got diff answers

[sudden swift]

@trim dune

[trim dune]

hmhm??

[sudden swift]

Take out the 1/2

From the first method

And -1/2 from second

what

[trim dune]

there will be an (extra -)

[sudden swift]

Log x^a=alogx

[sudden swift]

this^?

[trim dune]

bro i get it

but

do it

it wont make a difference

[sudden swift]

i’m reading your second solution

your first one looks fine but i could still be wrong

[sudden swift]

U put cos t =p

So there should be

[trim dune]

yeah

[sudden swift]

A minus sign

[trim dune]

sintdt=-dp

[sudden swift]

Which u ignored

No

no, wait

-son

-sin

corazon shut up

[trim dune]

yeah -sintdt=dp

[sudden swift]

Derivative of cos is -sin

@sudden swift ???

i believe the mistake was made in the previous step

[trim dune]

but if you take - to other side its -dp

[sudden swift]

So outside it will be plus not minus @trim dune

[trim dune]

let me go thru

[sudden swift]

where you write t*tan(t) + int(tan(t)dt)

[trim dune]

pls wait a sec

[sudden swift]

@doraemon?

reverse product should be a - there?

[sudden swift]

the - was placed out the front

but i don’t think it should ever have been there

[trim dune]

yeah it was meant to be t*tamt - int(tant.dt)

[sudden swift]

this should account for the sign error?

[trim dune]

then i multiplied a negative on both sides

i mean two times minus

[sudden swift]

@trim dune integration of tan x is -log cos x

So minus minus =plus

But u wrote minus

In next step

Why?

[trim dune]

let me show what i was doing

[sudden swift]

Nah u got it now right?

wait

what…

Today in my exam I had to integrate sin^-1 root x

[sudden swift]

oh dear

[sudden swift]

have i misread a minus sign in this working?

good grief

[sudden swift]

That was just a part I'll send the whole ques in general chat

[sudden swift]

@corazon sorry for this

[trim dune]

oh i see

needed a negative inside of int()

but let it go out

and then integrated thinking it was inside the int()

let me solve it

@sudden swift @sudden swift thank you guys for helping in my dumb quesn.

[bleak stratus]

@trim dune has given 1 rep to @lavish vale @graceful vector

[trim dune]

im sorry to waste your time

[sudden swift]

on the contrary, you stopped me from wasting it

[trim dune]

oh were you about to solve it too

im sorry for that too

:P

thanks!!

!close

[sudden swift]

no

@trim dune

lol

[trim dune]

then?

[trim dune]

yessir?

[sudden swift]

i would have done something much less productive instead

Do the ques in math discussion channel

[trim dune]

ah i see

yeah im going back to study now sorry

+close