Introduction
Application of Integrals of Class 12
(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.
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A =
or A = − |
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(iv) If we have two functions f (x) and g (x) such that f (x) ≤ g (x) in [a, b],
A = |
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(v) A = |
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