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Mathematics Worksheet
∫ Integration
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Understand integration as the reverse of differentiation.Apply the power rule for integration.Integrate sums, differences and constants.Always include the constant of integration, C.🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1∫x4 dx = ?
2∫9 dx = ?
3Integration is the reverse of:
4∫xn dx (n ≠ −1) = ?
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5∫xn dx = (n ≠ −1).
6∫9 dx = .
7Find ∫x4 dx.
8Find ∫9 dx.
9Find ∫(6x2 − 4x + 1) dx.
🚀 Section C · Challenge ● CHALLENGE 5
10Find ∫(x3 + x) dx.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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1-A 2-B 3-B 4-A | 5 xn+1/(n+1) + C 6 9x + C 7 = x5/5 + C 8 = 9x + C 9 = 2x3 − 2x2 + x + C | 10 = x4/4 + x2/2 + C