calc trig sub eqs

∫sin(x)dx

-cos(x) + c

∫cos(x)dx

sin(x) + c

∫tan(x)dx

-ln|cos(x)| + c, ln|sec(x)| + c

∫sec(x)dx

ln|sec(x) + tan(x)| + c

∫csc(x)dx

-ln|csc(x) + cot(x)| + c

∫cot(x)dx

ln|sin(x)| + c

sin²θ + cos²θ

1

1 + cot²θ

csc²θ

1 + tan²θ

sec²θ

√a²-x²

x = asinθ

√a²+x²

x = atanθ

√x²-a²

x = asecθ

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)