Math formulas to memorize

Integration by parts formula

∫ u ∗ dv = u ∗ v -∫ v ∗ du

Where does √a² -x² go on the right triangle

Bottom

Where does √x²-a² go on the right triangle

Right side (x goes on hypotenuse)

Derivative of tanx

sec² x

derivative of cotx

-csc² x

derivative if secx

secxtanx

derivative of arcsinx

1/(√1-x² )

derivative of arctanx

1/(1+x² )

antiderivative of sec² x

tanx

antiderivative of 1/(1+x² )

arctanx

antiderivative of 1/(√1-x2 )

arcsinx

limit of 1/x when x is approaching 0

pos/neg infinity

limit of 1/x when x is approaching pos/neg infinity

0

limit of e^x when x is approaching pos infinity

Pos infinity

limit of e^x when x is approaching neg infinity

0

limit of lnx when x is approaching pos infinity

Pos infinity

limit of lnx when x is approaching 0

Neg infinity

limit of arctanx when x is approaching pos infinity

π/2

limit of arctanx when x is approaching neg infinity

-π/2

limit of (1+a/n)^bn when x is approaching pos infinity

e^ab

limit of r^{pos infinity} when r<1

0

limit of r^{pos infinity} when r>1

pos infinity

Limit of ^x√lnx when x is approaching pos infinity

1

Limit of ^x√x when x is approaching pos infinity

1

Limit of ^x√x! when x is approaching pos infinity

pos infinity

Limit of ^x√c when x is approaching pos infinity and c>0

1

Limit of x√n^c when x is approaching pos infinity and c>0

1