Integration Awesome Shortcut | Integration Class 12 | Arvind Kalia Sir | #vedantujee #shorts

[JEEVedantu]

This shortcut is valid only when "a" is positive. So if in integrand a is negative, take minus common first, and then apply this shortcut. Best wishes.

[Rohansharma..]

Nyc trick
Disclaimer: do not try this in board exams

[IITBOMBAY]

√D ka Logic:- After using the complete square Method, , one over x square minus A square ki integration ke formula me 1/2a ki value √D hi aati hai 😇

[suruchidwivedi]

We all miss Bhai on this channel ....this channel has became our emotion over many yrs❤❤❤

[sahdevchavda]

sqrt(D) is the difference of roots when a=1
Use the partial fraction and solve for the unknowns to get the complete idea.

[JUGNU.C.MEHROTRA]

We can actually use special integration formulae & partial fractions to derive these results .This can increase our understanding of indefinite integration .

[Aditya-jwsm]

For those
Discriminant means D:-[ b² -4ac ]

[mitnarodia]

Sridhrachharya formula se niche roots find karke factors likhege Or difference create karne pe numerator me √D/2 + √D/2 se multiply karna padega....

[akhileshanil]

Requesting Vedantu to post similar Short Tricks on Indefinite Integration on diff. formats 🙏 🙏.
Special emphasis on Integration by Parts bcoz they become messy and tangled when we solve high level questions.

[mathsovs]

Second example me discriminant √(-15) aayega

[arushikakansal]

Nazare aagye bhai u r great dil mange more !!

[Rohansharma..]

Nyc trick for jee❤
Disclaimer: do not try this in board exams

[AlphaSIne-zu]

Logic(s):
ax^2+bx+c= a(x−α)(x−β)) (01.)
(as 'α' & 'β') are roots of the quadratic equation(01)
D: Discriminant (as a short form for the method of integrating using partial fraction(s)): I think so, not sure
D>0 :Real so D remains as D
D<0 : to make the quantity within square root, D should be replaced by (-D), so that no imaginary number is there
I guess.

[MySelf-xphn]

With sign (b+c)=D
+Ve or -Ve =- * and find-D. Or. +D

[dizzyboi]

root D implies difference of roots usrd to dividr n multiply to create partial fraction with the 2 roots

[virendrsingh]

Formula me Jo '2a' hota hai vo root ka difference hota hai, is liye ham yeah root ka difference( (D)^1/2)/a bhi use kar sakte hai but here a=1 so we can use only (D)^1/2

[ojasvisinghal]

√D logic -: using perfect square method and making its difference in numerator we will get this term by further solving

[fornoexactreason]

Nice i prefer partial fraction or ln formulae

[ankitkeshri]

Using loving integeal no shortcut, is it true Nvians ?😉👍🏻

[aryansinghbhadoriya]

Board Teacher ke Saamne hawawaazi karenge