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Anti-Derivative Rules

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Anti-Derivative Rules - Exercises | IB Math AIHL | Perplex

Anti-Derivative Rules

Anti-Derivative Rules

Antiderivatives of polynomials, trigonometric, inverse trigonometric, exponential, and logarithmic functions

Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)

Exercises

No exercises available for this concept.

Practice exam-style anti-derivative rules problems

Key Skills

Anti-Derivative of xⁿ, n∈ℚ

AHL AI 5.11

∫xndx=n+1xn+1+C,n=−1📖

Anti-Derivative of sin and cos

AHL AI 5.11

The integrals of sin and cos are

∫sinxdx ∫cosxdx=−cosx+C📖 =sinx+C📖

Anti-Derivative leading to tan

AHL AI 5.11

∫sec2xdx=tanx+C

Anti-Derivative of e^x

AHL AI 5.11

∫exdx=ex+C📖

Anti-Derivative of 1/x

AHL AI 5.11

∫x1dx=ln∣x∣+C📖