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@Apu
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,rotate
I tried using byparts further but it's giving the wrong ans
probably galat lagaya hoga
e^x[f(x)+f’(x)]
ye pata hai?
Tried partial fractions?
Jyada ho jayega
Lamba jayega
oh haan
Ee kaa hai? :thinker:
Are property
Dhyan se dekho sidha ans dikh jayega
-e^x/x+1 ?
wait no
na
Thoda batayoge
What? How? Why?
e^x ( f(x) + 2f'(x)) nahi hai ??
e^x[f+f’] is type ke integral ka ans e^x f(x) hota hai
solve krke bhi aa jata h but yaad hi rakhte h mostly
Accha accha
...
int(e^x(f(x)+f'(x))= e^xf(x)-int(e^xf(x))+int(e^xf(x)) by using integration by parts on int(e^xf'(x))
Ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
No :uhh:
Shit
Ruko batara likh k
Gotta revise Latex 😭
Fir yahan latex me likh ke cool banunga
f(x)=1/1+x right ??
f'(x)= -1/(1+x)^2
f= x-1/x+1 lega to aayega
why cant i take f(x)=1/1+x
in here
Diffrentiate krke dekh
us form me bhi to lana pdega na
e^x(f(x) + f'(x)) + e^x (f'(x))
Do +1 -1 in the numerator and split it into x^2-1/(x+1)^2 and 2/(x+1)^2 and taking the derivative of the first part will give you the other so ans will be e^x(x-1/x+1)
Are bhai I'm so dumd mai uske neeche wala question solve karra tha
😝
Why are you taking 2f'(x)
i was trying to do +2x -2x to form (x+1)^2 - 2x
Uh
@hardcoreisdead samjh gaya na kese krna hai? Ya kuch doubt hai abhi bhi
mera kahan galat hai....
Kahi galat nahi h it just takes bit more experience to catch the correct step thats it
Do a bit more trial and error in this chapter
check krlia kro na jo tumne banaya kya wo derivative hai f(x) ka simple
this doesnt give f(x) +f'(x)
oh
wait
hn
Um it does x-1/x+1 ka derivative is 2/(x+1)^2
Sorry if I missed a step💀
hmm right it does
if i were to follow my path
how would i do it
f(x) +2f'(x) right?
There is nowhere you could go with this form you would be left with int(e^xf'(x))
f(x) + f'(x) + f'(x)
then ill use general result
for one part
and e^x f'(x) ko separately solve
Yeah what will you do with the other
and then add
Ha fine if its solvable
If its not then you would be stuck in a loop
not in a loop but its not in the required form
Anyway try it once
can u tell the integral of this
You will only get to know what to do in this chap with trial and error
yeahh tbhi am forcing myself upon this path
Uhhh this leads to a non elementary integral itseems idk how to deal with that stuff
Basically not in JEEs scope
kaise
Put x+1 as t and try to solve kt you would be left with integral of e^x/x^2
That is not in jees scope
got it
thanx
+solved @hithav @Real potato
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