Integral Rules Sheet

Integral Rules Sheet - ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference. Integrals with trigonometric functions z sinaxdx= 1 a cosax (63) z sin2 axdx= x 2 sin2ax 4a (64) z sinn axdx= 1 a cosax 2f 1 1 2; Integral of a constant \int f\left(a\right)dx=x\cdot f\left(a\right) take the constant out \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx. Integral is called convergent if the limit exists and has a finite value and divergent if the limit doesn’t exist or has infinite value. ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: ′= −∫ ′ ∫integral of a constant: Cheat sheet for integrals 1.

Cheat sheet for integrals 1. ′= −∫ ′ ∫integral of a constant: Integrals with trigonometric functions z sinaxdx= 1 a cosax (63) z sin2 axdx= x 2 sin2ax 4a (64) z sinn axdx= 1 a cosax 2f 1 1 2; ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference. ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: Integral of a constant \int f\left(a\right)dx=x\cdot f\left(a\right) take the constant out \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx. Integral is called convergent if the limit exists and has a finite value and divergent if the limit doesn’t exist or has infinite value.

Cheat sheet for integrals 1. Integral is called convergent if the limit exists and has a finite value and divergent if the limit doesn’t exist or has infinite value. ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out: Integral of a constant \int f\left(a\right)dx=x\cdot f\left(a\right) take the constant out \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx. ⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference. ′= −∫ ′ ∫integral of a constant: Integrals with trigonometric functions z sinaxdx= 1 a cosax (63) z sin2 axdx= x 2 sin2ax 4a (64) z sinn axdx= 1 a cosax 2f 1 1 2;

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′= −∫ ′ ∫Integral Of A Constant:

Integral is called convergent if the limit exists and has a finite value and divergent if the limit doesn’t exist or has infinite value. Integral of a constant \int f\left(a\right)dx=x\cdot f\left(a\right) take the constant out \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx. Cheat sheet for integrals 1. ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out:

Integrals With Trigonometric Functions Z Sinaxdx= 1 A Cosax (63) Z Sin2 Axdx= X 2 Sin2Ax 4A (64) Z Sinn Axdx= 1 A Cosax 2F 1 1 2;

⋅ (𝑥 ) 𝑥= ⋅∫ 𝑥 𝑥 ∫sum/difference.

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