9.8.3 Area of the region bounded between two curves
Chapter 3: Chapter 9 · MATHEMATICS-VOLUME 2 · EN medium
From your actual textbook ✓
What does your textbook say about 9.8.3 Area of the region bounded between two curves?
Case (i) Let y ( ) and y g x ( ) be the equations of two curves in the XOY − plane such that g x ≥ for all x a b ∈ [ , ] . We want to find the area A of the region bounded between the two curves, the ordinates x and The required area is sketched in Fig. . . To compute A , we divide the region into thin vertical strips of width D x and height g x . It is important note that f x g x ≥ for all a b ∈ [ , ] . As before, the required area is the limit of the sum of the areas of the vertical strips. Hence, we get A = [ ( ) ( )] g x dx
📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 132
Read from the source
Complete lesson
Case (i) Let y ( ) and y g x ( ) be the equations of two curves in the XOY − plane such that g x ≥ for all x a b ∈ [ , ] . We want to find the area A of the region bounded between the two curves, the ordinates x and The required area is sketched in Fig. . .
To compute A , we divide the region into thin vertical strips of width D x and height g x . It is important note that f x g x ≥ for all a b ∈ [ , ] . As before, the required area is the limit of the sum of the areas of the vertical strips. Hence, we get A = [ ( ) ( )] g x dx
Related topics
Want this shaped for your exam marks?
Get an AI answer grounded in your actual textbook — with the exact page reference.
Ask AI about this topic →