11th Grade Integration (Polynomials) Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 11th Grade calculus worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Calculus11th Grade Integration (Polynomials) Worksheet — Level 1 — Practice Set 2 — Answers
Use the rule ∫ xⁿ dx = xⁿ⁺¹ / (n+1) + C.
1.Find ∫ (−5x4 + 3x2) dx
Answer: −x5 + x3 + C
- ∫ −5x4 dx = −x5
- ∫ 3x2 dx = x3
- Don't forget the constant of integration, C
2.Find ∫ (−5x4 + 12x3) dx
Answer: −x5 + 3x4 + C
- ∫ −5x4 dx = −x5
- ∫ 12x3 dx = 3x4
- Don't forget the constant of integration, C
3.Find ∫ (−15x4 + 8x3) dx
Answer: −3x5 + 2x4 + C
- ∫ −15x4 dx = −3x5
- ∫ 8x3 dx = 2x4
- Don't forget the constant of integration, C
4.Find ∫ (6x2 − 3) dx
Answer: 2x3 − 3x + C
- ∫ 6x2 dx = 2x3
- ∫ −3 dx = −3x
- Don't forget the constant of integration, C
5.Find ∫ (8x3 + 2) dx
Answer: 2x4 + 2x + C
- ∫ 8x3 dx = 2x4
- ∫ 2 dx = 2x
- Don't forget the constant of integration, C
6.Find ∫ (16x3 + 2) dx
Answer: 4x4 + 2x + C
- ∫ 16x3 dx = 4x4
- ∫ 2 dx = 2x
- Don't forget the constant of integration, C
7.Find ∫ (−6x − 3) dx
Answer: −3x2 − 3x + C
- ∫ −6x dx = −3x2
- ∫ −3 dx = −3x
- Don't forget the constant of integration, C
8.Find ∫ (−5x4 − 3x2) dx
Answer: −x5 − x3 + C
- ∫ −5x4 dx = −x5
- ∫ −3x2 dx = −x3
- Don't forget the constant of integration, C
9.Find ∫ (2x + 1) dx
Answer: x2 + x + C
- ∫ 2x dx = x2
- ∫ 1 dx = x
- Don't forget the constant of integration, C
10.Find ∫ (−6x2 − 2x) dx
Answer: −2x3 − x2 + C
- ∫ −6x2 dx = −2x3
- ∫ −2x dx = −x2
- Don't forget the constant of integration, C
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