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Application of Inequality in Definite Integration is considered one of the most asked concept.
16 Questions around this concept.
Let f be a differentiable function such that Then 18 f (3) is equal to :
Property 1
If f(x) ≤ g(x) ≤ h(x) for all x in [a, b], then
As from the figure, Area of ABDC ≤ Area of ABFE ≤ Area of ABHG
Property 2
If m is the least value (global minimum) and M is the greatest value (global maximum) of the function f(x) on the interval [a, b], then
Proof:
It is given that m ≤ f(x) ≤ M for all x in [a, b]
Property 3
Proof:
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Mathematics for Joint Entrance Examination JEE (Advanced) : Calculus
Page No. : 8.9
Line : 28
July 04, 2019
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Last Date to Apply : 15th September | Campuses in Agartala, Aizawl, Ajmer, Aurangabad, Calicut, Imphal, Itanagar, Kohima, Gorakhpur, Patna & Srinagar
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