iTeachChem•6mo ago

integration 3

integrate wrt x

iTeachChem Helper•7/22/25, 6:14 AM

@Apu

iTeachChem Helper•7/22/25, 6:14 AM

Note for OP

+solved @user1 @user2...+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.

CorrodedCoffinOP•7/22/25, 6:15 AM

pls explain your thought process

Varun_Arora•7/22/25, 6:18 AM

You tried partial fractions

Varun_Arora•7/22/25, 6:18 AM

VVarun_Arora You tried partial fractions

CorrodedCoffinOP•7/22/25, 6:20 AM

not applicable

CorrodedCoffinOP•7/22/25, 6:20 AM

these arent polynomials

Varun_Arora•7/22/25, 6:20 AM

Take expression = $$[(Ax) /(2x^2 + 3)] + [B/x-1] + [C/x+1]$$

TeXit•7/22/25, 6:20 AM

Enamine

Varun_Arora•7/22/25, 6:21 AM

Ohhh

Varun_Arora•7/22/25, 6:21 AM

That 1/2

Varun_Arora•7/22/25, 6:21 AM

It wasn't visible earlier

Varun_Arora•7/22/25, 6:21 AM

Sorry

CorrodedCoffinOP•7/22/25, 6:21 AM

np np

Varun_Arora•7/22/25, 6:21 AM

Open it up

Varun_Arora•7/22/25, 6:21 AM

We could do some trig sub here I suppose

CorrodedCoffinOP•7/22/25, 6:22 AM

i actually know what to do but i dont have a logic for it

CorrodedCoffinOP•7/22/25, 6:22 AM

like "why" this

Varun_Arora•7/22/25, 6:23 AM

It's a shorthand

Varun_Arora•7/22/25, 6:23 AM

You see

Varun_Arora•7/22/25, 6:23 AM

Squares under a square root

Varun_Arora•7/22/25, 6:23 AM

You think of trig identities

Varun_Arora•7/22/25, 6:23 AM

That gives you a hint as to convert into a useful form

Varun_Arora•7/22/25, 6:23 AM

There must be some other method too

Varun_Arora•7/22/25, 6:24 AM

But this is the most conventional

Varun_Arora•7/22/25, 6:24 AM

And frequently used

CorrodedCoffinOP•7/22/25, 6:25 AM

x=sectheta ??

CCorrodedCoffin x=sectheta ??

Varun_Arora•7/22/25, 6:26 AM

tan would work better no?

VVarun_Arora tan would work better no?

CorrodedCoffinOP•7/22/25, 6:27 AM

tan^2-1 would be harder to deal with

altf4•7/22/25, 6:27 AM

@hardcoreisdead

altf4•7/22/25, 6:27 AM

can u send ans

Varun_Arora•7/22/25, 6:27 AM

After converting it to x^2 + a^2

CCorrodedCoffin tan^2-1 would be harder to deal with

Varun_Arora•7/22/25, 6:27 AM

Naah not it in that

altf4•7/22/25, 6:27 AM

im getting something i want to cnf whether its correct or not

Varun_Arora•7/22/25, 6:27 AM

First open it

Aaltf4 can u send ans

CorrodedCoffinOP•7/22/25, 6:27 AM

indefinite pakcage page 42

altf4•7/22/25, 6:27 AM

alr

Varun_Arora•7/22/25, 6:27 AM

Convert it to the x^2 + a^2

CorrodedCoffinOP•7/22/25, 6:28 AM

ok trying

CCorrodedCoffin indefinite pakcage page 42

Varun_Arora•7/22/25, 6:28 AM

Such a smooth convo lmao

VVarun_Arora Convert it to the x^2 + a^2

CorrodedCoffinOP•7/22/25, 6:28 AM

ek sec ismein kaise aayega

CorrodedCoffinOP•7/22/25, 6:28 AM

root( degree 4 )

altf4•7/22/25, 6:28 AM

i converted the numerator to 1/5* [ (2x^2+3)-2(x^2-1)] then it was coming standard integrals for both iirc

CCorrodedCoffin root( degree 4 )

Varun_Arora•7/22/25, 6:29 AM

Further substitution

altf4•7/22/25, 6:29 AM

nah nvm

Varun_Arora•7/22/25, 6:29 AM

t2 ko x maan ke and stuff

Varun_Arora•7/22/25, 6:30 AM

Sorry

Varun_Arora•7/22/25, 6:30 AM

X square to t maan ke

Varun_Arora•7/22/25, 6:30 AM

Whatever

integration 3

Similar Threads

Similar Threads

Similar Threads