Math Problem Statement
Using two rectangles and the midpoints rule, the estimate area under the graph of f left parenthesis x right parenthesis equals 2 space sin space x from x equals 0 to x equals straight pi is
Solution
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Math Problem Analysis
Mathematical Concepts
Riemann Sum
Midpoint Rule
Trigonometric Functions
Formulas
f(x) = 2sin(x)
Area ≈ f(x_1) ⋅ Δx + f(x_2) ⋅ Δx
Δx = (b - a) / n
Theorems
Midpoint Rule for Riemann Sums
Suitable Grade Level
Grades 11-12, College-level Calculus
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