Year 11 Integration (Polynomials) Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 11 calculus worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · CalculusYear 11 Integration (Polynomials) Worksheet — Level 1 — Answers
Use the rule ∫ xⁿ dx = xⁿ⁺¹ / (n+1) + C.
1.Find ∫ (20x4 − 2) dx
Answer: 4x5 − 2x + C
- ∫ 20x4 dx = 4x5
- ∫ −2 dx = −2x
- Don't forget the constant of integration, C
2.Find ∫ (9x2 − 2) dx
Answer: 3x3 − 2x + C
- ∫ 9x2 dx = 3x3
- ∫ −2 dx = −2x
- Don't forget the constant of integration, C
3.Find ∫ (4x3 − 2x) dx
Answer: x4 − x2 + C
- ∫ 4x3 dx = x4
- ∫ −2x dx = −x2
- Don't forget the constant of integration, C
4.Find ∫ (6x − 1) dx
Answer: 3x2 − x + C
- ∫ 6x dx = 3x2
- ∫ −1 dx = −x
- Don't forget the constant of integration, C
5.Find ∫ (−4x3 + 4x) dx
Answer: −x4 + 2x2 + C
- ∫ −4x3 dx = −x4
- ∫ 4x dx = 2x2
- Don't forget the constant of integration, C
6.Find ∫ (−4x3 + 1) dx
Answer: −x4 + x + C
- ∫ −4x3 dx = −x4
- ∫ 1 dx = x
- Don't forget the constant of integration, C
7.Find ∫ (−4x3 + 2) dx
Answer: −x4 + 2x + C
- ∫ −4x3 dx = −x4
- ∫ 2 dx = 2x
- Don't forget the constant of integration, C
8.Find ∫ (9x2 − 1) dx
Answer: 3x3 − x + C
- ∫ 9x2 dx = 3x3
- ∫ −1 dx = −x
- Don't forget the constant of integration, C
9.Find ∫ (5x4 − 2) dx
Answer: x5 − 2x + C
- ∫ 5x4 dx = x5
- ∫ −2 dx = −2x
- Don't forget the constant of integration, C
10.Find ∫ (20x4 − 4x) dx
Answer: 4x5 − 2x2 + C
- ∫ 20x4 dx = 4x5
- ∫ −4x dx = −2x2
- Don't forget the constant of integration, C
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