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Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesCounting & BinomialsProof and Reasoning
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotes
2D & 3D GeometryTrig equations & identities
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegration
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
/
Integration
/
Anti-Derivative Rules
Techniques of Integration
Anti-Derivative Rules
Integration

Anti-Derivative Rules

0 of 0 exercises completed

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

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

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
​
∫x1​dx=ln∣x∣+C📖
​

Nice work completing Anti-Derivative Rules, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!
/
Integration
/
Anti-Derivative Rules
Techniques of Integration
Anti-Derivative Rules
Integration

Anti-Derivative Rules

0 of 0 exercises completed

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

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

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
​
∫x1​dx=ln∣x∣+C📖
​

Nice work completing Anti-Derivative Rules, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!

Generating starter questions...

Generating starter questions...