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1. Indefinite integrals (antiderivatives)

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Name ______________________Date ____________Score ____ / 12

Indefinite integrals (antiderivatives) practice

Indefinite integrals (antiderivatives) · 1–12

Find the indefinite integral.

Medium

1.∫(−2x³ + 5x² − 6x + 9) dx

Medium

2.∫(−2x³ − 2x² + 6x − 9) dx

Medium

3.∫(−5x³ + 2x² + 3x − 8) dx

Medium

4.∫(−3x³ − 6x² − 8x − 2) dx

Medium

5.∫(−3x³ + x² + x − 9) dx

Medium

6.∫(−5x³ + 7x² − 8) dx

Medium

7.∫(−5x³ + 2x² − 3x + 1) dx

Medium

8.∫(3x³ + 2x² − 3x − 4) dx

Medium

9.∫(x³ − 7x² − 8x + 7) dx

Medium

10.∫(x³ + 3x² + x − 4) dx

Medium

11.∫(−2x³ + 7x² − 2x + 7) dx

Medium

12.∫(−5x³ − x² − 3x − 6) dx

Answer key — Indefinite integrals (antiderivatives) practice

Indefinite integrals (antiderivatives)

1.−12x⁴ + 53x³ − 3x² + 9x + C

2.−12x⁴ − 23x³ + 3x² − 9x + C

3.−54x⁴ + 23x³ + 32x² − 8x + C

4.−34x⁴ − 2x³ − 4x² − 2x + C

5.−34x⁴ + 13x³ + 12x² − 9x + C

6.−54x⁴ + 73x³ − 8x + C

7.−54x⁴ + 23x³ − 32x² + x + C

8.34x⁴ + 23x³ − 32x² − 4x + C

9.14x⁴ − 73x³ − 4x² + 7x + C

10.14x⁴ + x³ + 12x² − 4x + C

11.−12x⁴ + 73x³ − x² + 7x + C

12.−54x⁴ − 13x³ − 32x² − 6x + C

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