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AP Calculus Mrs. Mongold
Lesson 2: Area AP Calculus Mrs. Mongold
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When n=4 ,βπ₯= π 4 0 π π πππ₯ππ₯β π 8 π ππ0+2π ππ π 4 +2π ππ π 2 +2π ππ 3π 4 +π πππ
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When n=4 ,βπ₯= π 4 0 π π πππ₯ππ₯β π 8 π ππ0+2π ππ π 4 +2π ππ π 2 +2π ππ 3π 4 +π πππ β π
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When n=4 ,βπ₯= π 4 0 π π πππ₯ππ₯β π 8 π ππ0+2π ππ π 4 +2π ππ π 2 +2π ππ 3π 4 +π πππ β π β1.896
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When n = 8, βπ₯= π 8 0 π π πππ₯ππ₯β π 16 ( π ππ0+2π ππ π 8 +2π ππ π 4 +2π ππ 3π 8 +2π ππ π 2 +2π ππ 5π 8 +2π ππ 3π 4 +2π ππ 7π 8 +π πππ)
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When n = 8, βπ₯= π 8 0 π π πππ₯ππ₯β π 16 ( π ππ0+2π ππ π 8 +2π ππ π 4 +2π ππ 3π 8 +2π ππ π 2 +2π ππ 5π 8 +2π ππ 3π 4 +2π ππ 7π 8 +π πππ) β π π ππ π 8 +4π ππ 3π 8
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When n = 8, βπ₯= π 8 0 π π πππ₯ππ₯β π 16 ( π ππ0+2π ππ π 8 +2π ππ π 4 +2π ππ 3π 8 +2π ππ π 2 +2π ππ 5π 8 +2π ππ 3π 4 +2π ππ 7π 8 +π πππ) β π π ππ π 8 +4π ππ 3π 8 β1.974
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Evaluate Using Antiderivative
0 π π πππ₯ππ₯
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Evaluate Using Antiderivative
0 π π πππ₯ππ₯ - (πππ πβπππ 0)
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Evaluate Using Antiderivative
0 π π πππ₯ππ₯ - (πππ πβπππ 0) A=2
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Verify your approximation with your calculatorο
Graph f(x) 2nd Calc # π π₯ ππ₯ Enter upper and lower bounds
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