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Introduction

Application of Integrals of Class 12

Application of Integrals

(iii) Let f (x) be a continuous monotonic function in [a, b] such that f (x) ≤ 0 in [a, c] and f (x) ≥ 0 in [c, b]. Then the area bounded by the curve y = f (x), x - axis and ordinates x = a and x = b is given by the formula.

A = Application of Integrals

or A = −Application of Integrals

Application of Integrals

(iv) If we have two functions f (x) and g (x) such that f (x) ≤ g (x) in [a, b],
then area bounded by the curves
y = f (x), y = g (x) and ordinates
x = a and x = b is given by

A = Application of Integrals

Application of Integrals

(v) A = Application of Integrals

Application of Integrals

 

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