Integral Cheat Sheet

Integral Cheat Sheet - Then a gxdx Γ²Β₯ conv. If a fxdx Γ²Β₯ conv. ∫π‘₯βˆ’1 π‘₯=ln(π‘₯) ∫ π‘₯ π‘₯ =ln(π‘₯) ∫ |π‘₯ π‘₯=π‘₯√π‘₯ 2 2 ∫ π‘₯ π‘₯= π‘₯ ∫sin(π‘₯) π‘₯=βˆ’cos(π‘₯) ∫cos(π‘₯) π‘₯=sin(π‘₯) trigonometric integrals: If f(x) ‑‑gx( ) 0on [a,Β₯) then, 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. If a gxdx Γ²Β₯ divg. Web comparison test for improper integrals : Then a fxdx Γ²Β₯ divg. Divide [ a , b ] into n subintervals of is a function, f ( x ) ,. Web symbolab integrals cheat sheet common integrals:

If a gxdx Γ²Β₯ divg. Divide [ a , b ] into n subintervals of is a function, f ( x ) ,. If f(x) ‑‑gx( ) 0on [a,Β₯) then, 1. Then a gxdx Γ²Β₯ conv. 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. Web symbolab integrals cheat sheet common integrals: If a fxdx Γ²Β₯ conv. Then a fxdx Γ²Β₯ divg. Web comparison test for improper integrals : ∫π‘₯βˆ’1 π‘₯=ln(π‘₯) ∫ π‘₯ π‘₯ =ln(π‘₯) ∫ |π‘₯ π‘₯=π‘₯√π‘₯ 2 2 ∫ π‘₯ π‘₯= π‘₯ ∫sin(π‘₯) π‘₯=βˆ’cos(π‘₯) ∫cos(π‘₯) π‘₯=sin(π‘₯) trigonometric integrals:

If f(x) ‑‑gx( ) 0on [a,Β₯) then, 1. Divide [ a , b ] into n subintervals of is a function, f ( x ) ,. If a gxdx Γ²Β₯ divg. 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. If a fxdx Γ²Β₯ conv. Then a fxdx Γ²Β₯ divg. Web comparison test for improper integrals : Web symbolab integrals cheat sheet common integrals: Then a gxdx Γ²Β₯ conv. ∫π‘₯βˆ’1 π‘₯=ln(π‘₯) ∫ π‘₯ π‘₯ =ln(π‘₯) ∫ |π‘₯ π‘₯=π‘₯√π‘₯ 2 2 ∫ π‘₯ π‘₯= π‘₯ ∫sin(π‘₯) π‘₯=βˆ’cos(π‘₯) ∫cos(π‘₯) π‘₯=sin(π‘₯) trigonometric integrals:

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If F(X) ‑‑Gx( ) 0On [A,Β₯) Then, 1.

Web comparison test for improper integrals : Then a fxdx Γ²Β₯ divg. ∫π‘₯βˆ’1 π‘₯=ln(π‘₯) ∫ π‘₯ π‘₯ =ln(π‘₯) ∫ |π‘₯ π‘₯=π‘₯√π‘₯ 2 2 ∫ π‘₯ π‘₯= π‘₯ ∫sin(π‘₯) π‘₯=βˆ’cos(π‘₯) ∫cos(π‘₯) π‘₯=sin(π‘₯) trigonometric integrals: Web symbolab integrals cheat sheet common integrals:

If A Fxdx Γ’Β₯ Conv.

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. Then a gxdx Γ²Β₯ conv. Divide [ a , b ] into n subintervals of is a function, f ( x ) ,. If a gxdx Γ²Β₯ divg.

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