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Areas with Inequalities
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This lesson explains the concept to calculate areas when inequalities are given

Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE | 6 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

U
Unacademy user
I scored 73/100 , Thank you so much sir god bless you... 🙏💐
sir plz add jee main PYQs on this chapter
sirr I think its not enough off Jee bcoz illustrations is to easy as you taken in this course so sir plzz take good illu. plzz sirr plzzz🙋😂🙏🙏🙏
the area under y=2x + sin x between y=0,x=0 and x=π/2 is Sir how to solve this? and how will be the curve?
chapter complete ho kya????
Vineet Loomba
10 months ago
Yes
its enough for jee?????
maybe
  1. APPLICATIONS OF INTEGRALS (AREA UNDER CURVES) 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)


  2. FOR 100% SUCCESS IN 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. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. Find the area bounded by the curves {(x, y) : y 2 x, y The curves intersect each other at x = 0 and x = 1 as shown in figure. The points of intersection are (-1, 1), (0, 0) and (1, 1) N) Sol. Since, the region is symmetric about y-axis, the required area is 2[area of region OABO] Hence, units? MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)


  4. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Find the area ofthe region {(x,y): *-x-1sys-i) Sol: Let the given region be = {(x, y) : x"-x Consider the curves v--x-1 1-5 1+N5 and y- The curves (1) & (2) intersect at the points x for which y <-1 "Region R Fig 4.26 yzx-x-1 represents the region inside the parabola (1) including the curve y s-1 represents the region below the line yncluding the line A rough sketch of the region R is shown in the figure MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)


  5. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) It is bounded between x=0 and x=1 L 2 3 L-6 sq units. MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)


  6. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) |x and y = x2 Find the area enclosed between the curves y Sol: Given equations are y = X2-2 Considerx>0 Solving y = x2-2 and y-x x2-x-2=0 x+1) (x-2) 0 -22f0,-2) x=2 x=2( x > 0) MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)


  7. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Consider x < 0, Solving y = x2-2, y =-X x2 + x-2-0 (X +2) (x + 1)=0 x= 2 or 1 .:. Required area jl-x-(2 -2)] dx >[x-(-2) dr 16 20 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)


  8. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Enroll 934 ENROL for this Course (Free) Recommend Lessons (Like) E Rate and Review the Course ** 15 68 153 ratings - 30 reviews .Comments . Sharing with friends Share MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)