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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.∫(−5x³ + 4x² + 4x − 7) dx

Medium

2.∫(3x³ + 2x² − 2x + 8) dx

Medium

3.∫(x³ + 9x² + 8) dx

Medium

4.∫(−3x³ + 2x² + x − 7) dx

Medium

5.∫(4x³ − 6x² − 6x + 4) dx

Medium

6.∫(5x³ + 3x² − 2x + 6) dx

Medium

7.∫(5x³ − 8x² + x − 9) dx

Medium

8.∫(−3x³ − x² + 3x − 6) dx

Medium

9.∫(−5x³ − 4x² + 2x − 2) dx

Medium

10.∫(−x³ + 6x² + 7x − 2) dx

Medium

11.∫(x³ + 8x² − 2x − 9) dx

Medium

12.∫(x³ + 7x² − 7x) dx

Answer key — Indefinite integrals (antiderivatives) practice

Indefinite integrals (antiderivatives)

1.−54x⁴ + 43x³ + 2x² − 7x + C

2.34x⁴ + 23x³ − x² + 8x + C

3.14x⁴ + 3x³ + 8x + C

4.−34x⁴ + 23x³ + 12x² − 7x + C

5.x⁴ − 2x³ − 3x² + 4x + C

6.54x⁴ + x³ − x² + 6x + C

7.54x⁴ − 83x³ + 12x² − 9x + C

8.−34x⁴ − 13x³ + 32x² − 6x + C

9.−54x⁴ − 43x³ + x² − 2x + C

10.−14x⁴ + 2x³ + 72x² − 2x + C

11.14x⁴ + 83x³ − x² − 9x + C

12.14x⁴ + 73x³ − 72x² + C

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