Integration by Parts | Shortcut & Tricks | Crack In Seconds | Unacademy JEE | Maths | Nishant Sir
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- Опубликовано: 11 сен 2024
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Integration by Parts | Shortcut & Tricks | Crack In Seconds | Unacademy JEE | Maths | Nishant Sir
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Equally useful...3 years later and will be forever😊😊😊😊
Originally made by blackpenredpen around 2. 5years before- watched it instantly at that time. Amazing trick though.
Yeah exactly, i got reminded of him too
Yeah same here
NO FIRSTLY MOHIT TYAGI SIR AROUND IN 2016 TAUGHT THIS TRICK IN HIS RECORDED LECTURES....
Exactly
@@theunfilteredconversations1717 BPRP made the video in February 2016 but the method has been known as Tanzalin method and the earliest reference I could find on the internet is a 1992 book in Indonesian language. So this method has been around since much before Mohit Tyagi started teaching
I think it was also shown by BlackPenRedPen.. But still great trick... Keep bringing in such tricks...
Yeah bro U are right
Yep
Exactly! Saw this method quite a long times ago
Yeah u right bro
Bro not everyone knew him sir takes or gathers tricks all together
Sir isme I LATE ka concept ko nahi dekha h kya at 7:10
Please upload more on Integrals under "Crack in Seconds" series.
I never evee comment to any of anyone's video on youtube...but dilse kuch tog aapka god bhala kr de...what a time saver trick for me...
Thank you sir for this trick, will definitely help many
He is very great teacher .. simply loved techniques
bounce back dekhne ke baad kaun aaya hai
Sir thanx for giving such wonderful✨😍trick to crack integration 💯💯💯💯please upload more and more videos
I remember watching this video 2 days before JEE 2022, Now again in IIT 3rd yr :)
Sir Type2 me e^X ke saath keval cos hi hoga,... Ya Phir Koi bhi fxn ho sakta hai???? 🤔 🤔 🤔
It's the DI method .... I first saw this in bprp
My observations......
1. The first trick (x^n f(x)) is not valid for logarithmic and inverse function as it violates ILATE rule.
2.The second one can be more generalised to work for any repetitive function like sin(x) whose differentiation repeats after some interval.
3. The third trick is to coverup the inadequacy of the first trick.
4. The third trick can be applied for inverse function also but doing so will be rather difficult than the actual method, so that's why it's not told by Nv sir here
Please tell me if there are any other observations......
Mind-blowing!! Do upload some more👍👍
sir . ex cos x ki integration mei. cos x ka integration +sinx hota aur sinx ka -cosx
Thank you sir for this trick
It was very useful sir . Tq
Sir here we have to follow ILATE Rule no?
no need to follow ILATE just choose the term whose integration is possible in I column
sir u r the god of mathametics for me
this is 2022 watchin his 2 years old videos .... sir ka behaviour thoda alag sa lg raha hai
Informative video!!!💯❤️🙂_ Thq sir
@8:05 mein toh e^xcosx +,- mein do baar aaya toh cancel ho jayega na
Ysss I m still confused
That's why tricks are useless
Jb last me parallel me multiply krenge tb use integral me lenge . Hamesha aisa krna
@@vishangoel5304 yaa bro correct
@@vishangoel5304 Sir hasn't said that
Sir please Tell in ellipse,hyperbola,parabola chapter also
Sir agar maan lijie ye question 2 marks ka solve karne bola to humlog ese hi solve karenge kya 🙏
Teaching is good sir. Please take up more sessions.
What about inverse trigonometric functions in by parts?
It would be similar to the example using natural log. The underlying idea is that you put the inverse trig function in the D-column, and when differentiated, it becomes an algebraic function. You can then regroup it with the algebraic function being integrated, and integrate by another method.
Consider the integral of:
arctan(x)*x dx
Put arctan(x) in the D-column, and x in the I-column. Remember, as you integrate the I-column, you can strategically add any constant you want at any part of this process, since all that we need is *any* valid integral of the previous entry.
S ____ D __________ I
+ ___ atan(x) _____ x
- ___ 1/(x^2 + 1) __ 1/2*x^2 + 1/2
Notice we strategically integrate x, not as 1/2*x^2, but as 1/2*x^2 + 1/2. You'll see why in a minute.
Attach the signs to the entries in the D-column, and connect along diagonals. Connect the final row across, with an integral sign.
1/2*atan(x)*(x^2 + 1) - 1/2*integral (x^2 + 1)/(x^2 + 1) dx
Now, we can cancel the entire integrand, since the top and bottom are equal. It becomes integral 1 dx, which is x.
Add +C, and we are done:
1/2*atan(x) * (x^2 + 1) - 1/2*x + C
Smart approach . Thank you sir.
NV sir = shortcut sir
That was amazing man
Thanks sir for this video 💓💓💓
Sir konsa integrate karna konsa differentiate karna sir
ILATE ke hisab se first function ko diff. And 2nd ko int. Krna hai
@@blinkingstar6310 completed my 12th vro and selected
i watched this in my jee prep
now im watching this in my clg
really nice trick
which college
Sir kis function ko diff qnd kis ko integrate kqrna hai?
ilate rule se pata chalega
my favourite @blackpenredpen 's Trick
*2 years later : Sir ab aapki writing sudhar gyi h....!* 😅😅
Sir upload trick for codratic in under root and with trigonometrical functions
But sir can Isolve the problems which have 3 functions on this D I method. Please answer me.
Thank you very much Sir !!!!
Cos × ka integration...sin x+ c hota hai.....
Divide me 2 kha se aa gya?🙄
Are sarr mja aagya
this is integration by parts tabular format, looks compact thats why seems easy
formula in the thumbnail is wrong please correct it
and my name is shreyas namjoshi
How did you got 5 as your denominator?
Ur Nv style is amazing sir
Sir plz share tricks for coordinate geometry
Sir aap bhut acha smjate ho thank you
Welcome
I extremely fllatered sir thank you so much for this trick.
🤔
how to get know that which function to put under D and which in I tab
Use ilate rule
Thanks sir
Int[(xl-x^2)sin(n.pix/l]
iska short cut kia hoga?
awesome trick
Thanks sir!!🤗
Amazing sir
Khatarnak
This is osm ..
Amazing effort sir!Maza aa gaya
Please tell some advance tricks..to solve advance questions..
# NV STYLE #
nice trick sir
Engineering Mein Bhi use horaha hai. ❤
Sir is this is trick applicable for sin^n(x)
Awesome
How is type 3 any different than by parts
Sir ek nnumber trick hai thank you for giving us this trick
Veri good short method Rajaram Mali Mumbai
Sir A^5 ke matrix ka shortcut tricks🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏✍✍✍✍✍✍✍✍✍✍✍✍✍✍✍😌😌😌😌😌😌😌😌😌😌😌😌😌😌😌😌😌
Sir new batch kab se start hoga jee ka on RUclips
thik hai!
🖤
Inverse vala plzzzz
Fogg Aur Kya Chaiye Yaar 15:13 But Still Good Trick
Deepika 😂😂😂
Best trick ever.
sir xlogx ka nhi aa raha hai
How to choose D and I
Special integral ka liya sir short cut
Sir aur aisa shortcut lao na
How could we do it? Integrate ( sinx) × ( log x) dx.
No elementary solution exists. You'll end up using Cosine Integral, Ci(x) as part of the solution, which is a non-elementary function we defined as Ci(x) = integral cos(t)/t dt from 0 to x.
Here's how you'd do it:
Let ln(x) be the function differentiated, and sine to be integrated. Set up the table accordingly.
S _____ D _____ I
+_____ ln(x) ___ sin(x)
- _____ 1/x ____ -cos(x)
Connect signs, and diagonal, and then integrate final row:
-ln(x)*cos(x) + integral cos(x)/x dx
Result:
Ci(x) - ln(x)*cos(x) + C
@@carultch Is it unintegrable???
@@syedmdabid7191 Depends on what you mean by integratable. If by integratable, you mean a solution in arithmetic, powers, exponetials, trig, logs, and inverse trig (i.e elementary functions), then there is no solution. But if by integratable, you allow for any possible function that we can generate an algorithm to calculate for us, then it is integratable. We define the function "cosine integral" or Ci(x) for this purpose. It is likely evaluated with an infinite series behind the scenes, just as cosine itself is calculated.
opppp sir gajabbbbbb
How do you decide which part to differentiate and which part to integrate?
ILATE rule
@@beluga8967 ok thank you
Awesome please continue this series
that's integral by parts in tabular form.
Khatrnak trik
already watched this on bprp
how to integrate
sin(xy)/x dx
No elementary integral exists. This requires Si(x), the sine integral, defined as integral sin(x)/x dx.
Treat y as a constant, and use U-substitution. Let u = x*y, thus, du = y*dx. Solve for dx = dy/y
Thus:
integral sin(u)/(u/y) * du/y
Pull y^2 out in front:
1/y^2 * integral sin(u)/u du
Use sine integral to integrate it:
1/y^2 * Si(x*y) + C
Sir ye e power x into sin^2x me nahi apply ho rahi.......
Pls answer me ki aasa kyu ho raha he........
Are yrr.. ye trick uske liye valid nhi h na bhai ...TYPE CHECK kar
@@sejalr.8692 to bhai us sum ke liye muje kya karana chahiye???
@@sejalr.8692 are bhai bata bhi de..
@@raviajagiya2487 .uske liye trick nhi h....poora formula laga by parts wala
@@sejalr.8692 yad aa gaya
Thank you brother
Kash ye video pehle dekha hota
For ex^2 x^3 its proves wrong
Sir hame aur shortcut chahiye
Sir what is integrable function 😳 🤔 😐 😑 😳 🤔 😰😨😰😭🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
dude, what is the indefinite integral of 0?
Ans 0
@@niteshmaurya6550 can u please explain me ?
Constant bro
@@sayedshoaibabunasar8113 yes… you are right!
any college student? Signal and System
Sir thoda smile bhi kr liya kro wrna mja niii aata padhne m
Please add the p&c shortcuts in this playlist
It is the copy of Neha Agarwal Inclined Math
🎶❤️❤️❤️❤️❤️😍✨
Really quite interesting shortcut
👏👏🧡🧡✌✌👆👆👌👌👌
i think it is quite confusing
its too weird to see sir teaching with a serious face lmao
+1
+4