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Anti-Derivative Rules

Exercises

Key Skills

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

SL 5.6

∫xndx=n+1xn+1+C,n=−1📖

Anti-Derivative of sin and cos

SL 5.6

The integrals of sin and cos are

∫sinxdx ∫cosxdx=−cosx+C📖 =sinx+C📖

Anti-Derivative of e^x

SL 5.6

∫exdx=ex+C📖

Anti-Derivative of 1/x

SL 5.6

∫x1dx=ln∣x∣+C📖