Integration: Definite Integration

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Presentation transcript:

Integration: Definite Integration Silent Teacher Intelligent Practice Narration Your Turn 𝟎 𝟏 𝒙 𝟐 𝒅𝒙 𝟏 𝟐 𝒙 𝟐 𝒅𝒙 Practice

Worked Example Your Turn 2 3 𝑥 2 𝑑𝑥 2 4 𝑥 2 𝑑𝑥 @blatherwick_sam

0 1 𝑥 2 𝑑𝑥 1 2 𝑥 2 𝑑𝑥 0 2 𝑥 2 𝑑𝑥 0 2 2 𝑥 2 𝑑𝑥 0 2 3 𝑥 2 𝑑𝑥 0 1 𝑥 3 𝑑𝑥 0 1 𝑥 3 +1 𝑑𝑥 0 1 𝑥 3 +2 𝑑𝑥 0 2 𝑥 3 𝑑𝑥 0 2 𝑥 3 +1 𝑑𝑥 0 2 𝑥 3 +2 𝑑𝑥 1 3 𝑥 2 𝑑𝑥 1 3 𝑥 𝑑𝑥 1 3 𝑥 2 +𝑥 𝑑𝑥 1 3 𝑥 2 −𝑥 𝑑𝑥 0 3 𝑥 2 −𝑥 𝑑𝑥 0 1 𝑥 2 −𝑥 𝑑𝑥 @blatherwick_sam

0 2 𝑥 3 𝑑𝑥=4 0 2 𝑥 3 +1 𝑑𝑥= 6 0 2 𝑥 3 +2 𝑑𝑥= 8 1 3 𝑥 2 𝑑𝑥= 8 2 3 1 3 𝑥 𝑑𝑥= 4 1 3 𝑥 2 +𝑥 𝑑𝑥= 12 2 3 1 3 𝑥 2 −𝑥 𝑑𝑥= 4 2 3 0 3 𝑥 2 −𝑥 𝑑𝑥=4 1 2 0 1 𝑥 2 −𝑥 𝑑𝑥= − 1 6 0 1 𝑥 2 𝑑𝑥= 1 3 1 2 𝑥 2 𝑑𝑥= 7 3 0 2 𝑥 2 𝑑𝑥= 8 3 0 2 2 𝑥 2 𝑑𝑥= 16 3 0 2 3 𝑥 2 𝑑𝑥=8 0 1 𝑥 3 𝑑𝑥= 1 4 0 1 𝑥 3 +1 𝑑𝑥= 1 1 4 0 1 𝑥 3 +2 𝑑𝑥= 2 1 4 @blatherwick_sam