Integral Rules Sheet

Integral Rules Sheet - ′= −∫ ′ ∫integral of a constant: Cheat sheet for integrals 1. 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⋅ ( ) ∫taking a constant out: 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= ⋅∫ 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;

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

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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.

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; Cheat sheet for integrals 1. ′= −∫ ′ ∫integral of a constant: ( ) 𝑥=𝑥⋅ ( ) ∫taking a constant out:

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= ⋅∫ 𝑥 𝑥 ∫sum/difference.

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