Free Integration questions for IGCSE Additional Mathematics (0606), part of Vectors & calculus. Each question has the answer and the marking points an examiner would look for.
Generate a full Integration worksheet →All Vectors & calculus questionsFind the area enclosed between the curve y = x2 − x − 2 and the x-axis.
| Part | Answer and marking points | Marks |
|---|---|---|
| 92 roots x = 2 and x = −1 B1 integrate M1 substitute limits M1 92 A1 | 4 |
Find ∫ e2x dx and ∫ cos 2x dx.
| Part | Answer and marking points | Marks |
|---|---|---|
| 12e2x + c; 12 sin 2x + c 12e2x B1 12 sin 2x B1 | 2 |
The curve y = (x + 2)(1 − x) meets the x-axis at two points. Find the exact area enclosed by the curve and the x-axis.
| Part | Answer and marking points | Marks |
|---|---|---|
| 4.5 oe Expand to quadratic M1 Integrate correctly M1 Limits -2 and 1 M1 Correct substitution M1 92 A1 | 5 |
Find ∫(6x2 − 4x + 1) dx.
Evaluate ∫12 (6x2 − 4x + 1) dx.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 2x3 − 2x2 + x + c two terms correct M1 2x3 − 2x2 + x + c A1 | 2 |
| (b) | 9 substitute limits M1 9 A1 | 2 |
Find the area enclosed between the curve y = x2 − 7x + 10 and the x-axis.
| Part | Answer and marking points | Marks |
|---|---|---|
| 92 roots x = 2 and x = 5 B1 integrate M1 substitute limits M1 92 A1 | 4 |
Find ∫ e3x dx and ∫ cos 3x dx.
| Part | Answer and marking points | Marks |
|---|---|---|
| 13e3x + c; 13 sin 3x + c 13e3x B1 13 sin 3x B1 | 2 |
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Meet Riyaz →Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in