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Properties of Definite Integrals (Part-1) (in Hindi)
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This lesson explains the first 3 properties of definite integrals for jee main and advanced

Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE (Maths) | 2.6 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

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doubt destroyer , really appreciative, thank you ma'am
Sir ji jya upper limit mn open bracket hota hai jisse usse include nhi kar rhe hai jaise ki modulus wale mn 1 ko nhi liya hai. Sir thnx for all your efforts .
Vineet Loomba
2 months ago
I m unable to understand ur ques
Divit Goyal
2 months ago
sir sorry silly doubt tha samajh mn aa gya fir
Sir this course is enough for jee main and advance sir what fir vector and 3d
Vineet Loomba
8 months ago
check the course on vector 3D
Noor
8 months ago
Okay guru ji🙇🙇🙇🙇
sir please make a course on application of integrals
Vineet Loomba
8 months ago
okay will make soon .stay tuned
Tanmay yadav
8 months ago
sir can you give a tentative date on when you will start the course
Vineet Loomba
8 months ago
i will try to start this week
Tanmay yadav
8 months ago
that would be great
sir thanks a lot me clear my difflites by this but sir please add more tapest question
Vineet Loomba
9 months ago
yes this is an ongoing course more lessons will be added this week
Nisha tyagi
9 months ago
thanks sir
Nisha tyagi
9 months ago
thanks sir
thank you sir i like your teaching plz make videos on coordinate geometry as soon as possible
Vineet Loomba
9 months ago
yes sure ..dont forget to give 5 stars rating
  1. IIT-JEE VIDEO COURSE FOR SURE SHOT SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) IIT-JEE MATHS MADE EASY PREPARED BY: ER. VINEET LOOMBA IITian | IIT-JEE MENtOR Search vineet loomba unacademy" on GOOGLE


  2. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B.Tech. From IIT Roorkee IIT-JEE Mentor Since 2010 Doubts/Feedback in Comment Section * Comment other topics you want to revise. Follow me @ https://unacademy.com/user/vineetloomba to get updates or search me on Google * Share among your peers as SHARING is CARING!!


  3. DEFINITE INTEGRATION JEE MAIN AND ADVANCED IIT-IEE MATHS MADE EASY PREPARED BY: ER. VINEET LOOMBA IITiAN | IIT-JEE MENTOR FoR SURE SHoT SUcCESS IN JEE MAIN AND ADVANCED (IIT-JEE)


  4. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Properties of Definite Integration lt it The point of this property is to notice that as long as the function and limits are same, the variable of integration that we use in the definite integral won't affect the answer. L REMEMBER I Variable of integration in definite integral is a dummy variable. MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)


  5. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) dx f(x)dx= -| f(x)dx Example:Evaluate -4x2 + 1 P-2: Solution: dt 2 xV4x1 1/3 1/3 dt dt Sol= 1/2 t 1/2 V4+ 1/2 3 17+1 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)


  6. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) 1-2x, X s0 Example: Evaluate fx)dx, where fx)- Solution: f(x)dx=jf(x)dx+ff(x)dx = j(1-2xdx +j(1+2x)dx 1 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)


  7. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: Evaluate [x] dx Solution: 2 3 2 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)


  8. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example Evaluate Solution We note that x3 - x 2 0 on [ 1, 0] and x3 - x S 0 on [0, 1 and that x3--x 2 0 on [1,2]. So by P, we write 0 4 2 2 4 4 2 2 4 4 2 2 4 4 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)


  9. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) /2 Example: Evaluate: log tan x ox 0 Solution: /2 /2 = J (n tan x dx 0 T/2 21 En tan x + In cot x dx I-0 0 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)


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