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

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

3. 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

4. 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=
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