To Memorize - AP Calc

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec²(x)

d/dx cot(x)

-csc²(x)

d/dx sec(x)

sec(x)tan(x)

d/dx csc(x)

-csc(x)cot(x)

Integrate cos(x) dx

sin(x) +c

Integrate sec²(x) dx

tan(x) +c

Integrate sec(x)tan(x) dx

sec(x) +c

Integrate sin(x) dx

-cos(x) +c

Integrate csc²(x) dx

-cot(x)+c

Integrate csc(x)cot(x) dx

-csc(x) +c

Integrate tan(x) dx

-ln|cos(x)| +c

Integrate cot(x) dx

ln|sin(x)| +c

Average Value of a Function (from point a to b) Formula

Integral from a to b of f(x) dx divided by (b-a)

d/dx arcsin(x)

1 / sqrt(1-x²)

d/dx arccos(x)

-1 / sqrt(1-x²)

d/dx arctan(x)

1 / 1+x²