Subjects calculus

Area Enclosed Ffce8C

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Area Enclosed Ffce8C


1. **Problem Statement:** Find the area of the region enclosed between a given curve and a line. 2. **General Approach:** To find the area between a curve $y=f(x)$ and a line $y=g(x)$ over an interval $[a,b]$, use the formula: $$\text{Area} = \int_a^b |f(x) - g(x)| \, dx$$ 3. **Steps:** - Identify the functions $f(x)$ and $g(x)$. - Find the points of intersection by solving $f(x) = g(x)$ to determine limits $a$ and $b$. - Set up the integral of the absolute difference $|f(x) - g(x)|$ from $a$ to $b$. - Evaluate the integral to find the enclosed area. 4. **Note:** Without explicit functions or limits, the exact area cannot be computed. Please provide the equations of the curve and the line to proceed.