Math Problem Statement
When integrating with respect to x, make vertical slices parallel to the y-axis. If the upper or lower boundary is bounded by two different functions, divide the region into two or more subregions and find their areas independently, then find their sum. If there is only one function for the upper boundary and one function for the lower boundary, then find the area of the whole region. The following formula gives the area of a region bounded by f and g on an interval [a,b] where
f(x)greater than or equals≥g(x).
Aequals=Integral from a to b left parenthesis f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis right parenthesis dx∫ab(f(x)−g(x)) dx
Solution
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Math Problem Analysis
Mathematical Concepts
Integral Calculus
Area between Curves
Definite Integrals
Formulas
Area between curves formula: A = ∫[a,b] (f(x) - g(x)) dx
Theorems
-
Suitable Grade Level
Undergraduate
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