Integral Cheat Sheet

Integral Cheat Sheet - ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 © 2005 paul dawkins integrals definitions definite integral: ⋅ (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. ′= −∫ ′ ∫integral of a constant:

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⋅ ( ) ∫taking a constant out: ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: © 2005 paul dawkins integrals definitions definite integral: ′= −∫ ′ ∫integral of a constant: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥

′= −∫ ′ ∫integral of a constant: ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: © 2005 paul dawkins integrals definitions definite integral: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 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.

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(𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 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: © 2005 paul dawkins integrals definitions definite integral: ′= −∫ ′ ∫integral of a constant:

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′= −∫ ′ ∫integral of a constant: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 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⋅ ( ) ∫taking a constant out: ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule:

Integral Cheat Sheet

′= −∫ ′ ∫integral of a constant: 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: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 © 2005 paul dawkins integrals definitions definite integral:

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⋅ (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. ′= −∫ ′ ∫integral of a constant: © 2005 paul dawkins integrals definitions definite integral: ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out:

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⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: © 2005 paul dawkins integrals definitions definite integral: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 ( ) 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.

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′= −∫ ′ ∫integral of a constant: ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 © 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.

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(𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: © 2005 paul dawkins integrals definitions definite integral: ⋅ (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.

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( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: ′= −∫ ′ ∫integral of a constant: ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: (𝑥 )± (𝑥 𝑥=∫ (𝑥) 𝑥±∫ 𝑥) 𝑥 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 cheat sheet Docsity

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) 𝑥±∫ 𝑥) 𝑥 ′= −∫ ′ ∫integral of a constant: ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference rule: ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: