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Integration Worksheets

Free printable integration worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from power rule for integration: ∫ ax^n dx at the easy level through to definite integral with numeric bounds at the advanced level.

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Difficulty Levels

Beginner

Concepts
Power rule for integration: ∫ ax^n dx
Number Range
a: 1–5, n: 1–4
Steps
2 steps
Example
∫ 3x² dx

Easy

Concepts
Integrate a quadratic polynomial term by term
Number Range
a: 1–3, b: βˆ’5 to 5, c: βˆ’5 to 5
Steps
5 steps
Example
∫ (2xΒ² + 3x βˆ’ 1) dx

Medium

Concepts
Integrate sin, cos, or e^x
Number Range
coefficient: 1–4
Steps
1 step
Example
∫ 3 cos(x) dx

Hard

Concepts
Definite integral with numeric bounds
Number Range
a: 1–3, n: 1–3, bounds: 0–5
Steps
2 steps
Example
βˆ«β‚Β³ 2xΒ² dx

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