integration 3

integrate wrt x
No description
53 Replies
iTeachChem Helper
iTeachChem Helper•2mo ago
@Apu
iTeachChem Helper
iTeachChem Helper•2mo ago
Note for OP
+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.
CorrodedCoffin
CorrodedCoffinOP•2mo ago
pls explain your thought process
Varun_Arora
Varun_Arora•2mo ago
Yo You tried partial fractions ?
CorrodedCoffin
CorrodedCoffinOP•2mo ago
not applicable these arent polynomials
Varun_Arora
Varun_Arora•2mo ago
Take expression = $$[(Ax) /(2x^2 + 3)] + [B/x-1] + [C/x+1]$$
TeXit
TeXit•2mo ago
Enamine
No description
Varun_Arora
Varun_Arora•2mo ago
Ohhh That 1/2 It wasn't visible earlier Sorry
CorrodedCoffin
CorrodedCoffinOP•2mo ago
np np
Varun_Arora
Varun_Arora•2mo ago
Open it up We could do some trig sub here I suppose
CorrodedCoffin
CorrodedCoffinOP•2mo ago
i actually know what to do but i dont have a logic for it like "why" this
Varun_Arora
Varun_Arora•2mo ago
It's a shorthand You see Squares under a square root You think of trig identities That gives you a hint as to convert into a useful form There must be some other method too But this is the most conventional And frequently used
CorrodedCoffin
CorrodedCoffinOP•2mo ago
x=sectheta ??
Varun_Arora
Varun_Arora•2mo ago
tan would work better no?
CorrodedCoffin
CorrodedCoffinOP•2mo ago
tan^2-1 would be harder to deal with
vj25_
vj25_•2mo ago
@hardcoreisdead can u send ans
Varun_Arora
Varun_Arora•2mo ago
After converting it to x^2 + a^2 Naah not it in that
vj25_
vj25_•2mo ago
im getting something i want to cnf whether its correct or not
Varun_Arora
Varun_Arora•2mo ago
First open it
CorrodedCoffin
CorrodedCoffinOP•2mo ago
indefinite pakcage page 42
vj25_
vj25_•2mo ago
alr
Varun_Arora
Varun_Arora•2mo ago
Convert it to the x^2 + a^2
CorrodedCoffin
CorrodedCoffinOP•2mo ago
ok trying
Varun_Arora
Varun_Arora•2mo ago
Such a smooth convo lmao
CorrodedCoffin
CorrodedCoffinOP•2mo ago
ek sec ismein kaise aayega root( degree 4 )
vj25_
vj25_•2mo ago
i converted the numerator to 1/5* [ (2x^2+3)-2(x^2-1)] then it was coming standard integrals for both iirc
Varun_Arora
Varun_Arora•2mo ago
Further substitution
vj25_
vj25_•2mo ago
nah nvm
Varun_Arora
Varun_Arora•2mo ago
t2 ko x maan ke and stuff Sorry X square to t maan ke Whatever
CorrodedCoffin
CorrodedCoffinOP•2mo ago
aur bura ban gya
vj25_
vj25_•2mo ago
yeah took to long to solve that there would be a better method
CorrodedCoffin
CorrodedCoffinOP•2mo ago
avhaa
Varun_Arora
Varun_Arora•2mo ago
Isme I suppose something else should be there too 2 baar substitution karna pad raha hai Ek to mai just utha hun I'll try this myself thodi der me
CorrodedCoffin
CorrodedCoffinOP•2mo ago
@Enamine x^2=t wont work cuz 2xdx = dt . numerator mein sirf dx hai
Varun_Arora
Varun_Arora•2mo ago
Aaah I see
iTeachChem
iTeachChem•2mo ago
Does the answer have arc sin etc?
CorrodedCoffin
CorrodedCoffinOP•2mo ago
nah
iTeachChem
iTeachChem•2mo ago
Weird.
CorrodedCoffin
CorrodedCoffinOP•2mo ago
i might be *one of the * answer
iTeachChem
iTeachChem•2mo ago
Haha yea if you get arc sinh or arc tan h Then trig sub hai. But waise for what exam are you doing these qs? Or just for fun Cos these can only be done if you know the substitution. Too much rigour otw
CorrodedCoffin
CorrodedCoffinOP•2mo ago
primarily adv yeah
iTeachChem
iTeachChem•2mo ago
x2 −1=tan^2( θ) bro someone teach me latex here
Real potato
Real potato•2mo ago
$x^{2}-1=tan^{2} \theta$
TeXit
TeXit•2mo ago
Real potato
No description
Real potato
Real potato•2mo ago
Like this sir
iTeachChem
iTeachChem•2mo ago
$x^{2}-1=tan^{2} \theta$ ah dolla dolla sorry LOl
Real potato
Real potato•2mo ago
U diidnt hve tk write that lol😂😂
iTeachChem
iTeachChem•2mo ago
yea sometimes you write \ two bwd slash sometimes two $ wasnt sure which
Real potato
Real potato•2mo ago
Yup
iTeachChem
iTeachChem•2mo ago
thanks :D
Real potato
Real potato•2mo ago
$ is for entering maths mode
CorrodedCoffin
CorrodedCoffinOP•2mo ago
((2sec^2t+3)(tan^2t))
iTeachChem
iTeachChem•2mo ago
correct. and dt = sec t*tan t, so tant gets cancelled out wait why 2t uske bsad another round of sub tan t = u, then yhou get sin h-...

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