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What are the formulas used in Application of Integrals Class 12


Ravindra Pindel 14th Jul, 2020
Answer (1)
Ravindra Pindel 14th Jul, 2020

In Class 12 Chapter 8 - Application of Integrals, the key formulas include:
1. Area under a curve:

$
\text { Area }=\int_a^b y d x=\int_a^b f(x) d x
$

2. Area between two curves:

$ \text{Area} = \int_a^b [f(x) - g(x)] ,dx, \quad \text{where } f(x) \geq g(x) \text{ in } [a, b]. $

3. For vertical strips (in terms of $y$ ):

$\text { Area }=\int_c^d[f(y)-g(y)] d y$

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