Integral Cheat Sheet

Integral Cheat Sheet - (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: ′= −∫ ′ ∫integral of a constant: © 2005 paul dawkins integrals definitions definite integral: ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: Integral substitution \int f\left(g\left(x\right)\right)\cdot g^'\left(x\right)dx=\int f\left(u\right)du,\:\quad u=g\left(x\right) definite integrals rules definite.

© 2005 paul dawkins integrals definitions definite integral: Integral substitution \int f\left(g\left(x\right)\right)\cdot g^'\left(x\right)dx=\int f\left(u\right)du,\:\quad u=g\left(x\right) definite integrals rules definite. ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: ′= −∫ ′ ∫integral of a constant: ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥

( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: Integral substitution \int f\left(g\left(x\right)\right)\cdot g^'\left(x\right)dx=\int f\left(u\right)du,\:\quad u=g\left(x\right) definite integrals rules definite. © 2005 paul dawkins integrals definitions definite integral: ′= −∫ ′ ∫integral of a constant:

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© 2005 Paul Dawkins Integrals Definitions Definite Integral:

Integral substitution \int f\left(g\left(x\right)\right)\cdot g^'\left(x\right)dx=\int f\left(u\right)du,\:\quad u=g\left(x\right) definite integrals rules definite. ′= −∫ ′ ∫integral of a constant: ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule:

(𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥

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