Trig anti derivatives and derivatives

Integral of sin x dx

-cos x + c

Integral of cos x dx

sin x + c

Integral of sec^2 x dx

tan x + c

Integral of csc^2 x dx

-cot x + c

Integral of sec x tan x dx

sec x + c

Integral of csc x cot x dx

-csc x + c

Derivative of sin x

cos x

Derivative of cos x

-sin x

Derivative of tan x

sec^2 x

Derivative of cot x

-csc^2 x

Derivative of sec x

sec x tan x

Derivative of csc x

-csc x cot x

Derivative of log x

1/xlna

Derivative if ln

1/x

anti derivative of 1/x

ln IxI

Derivative of e^x

e^x

anti derivative of e^x

e^x

Derivative of a^x

a^x(ln(a))

d/dx sin⁻¹(x)

1/√(1-x²)

d/dx cos⁻¹(x)

-1/√(1-x²)

d/dx tan⁻¹(x)

1/(1+x²)

d/dx csc⁻¹(x)

-1/(|x| √(x²-1))

d/dx sec⁻¹(x)

1/(|x| √(x²-1))

d/dx cot⁻¹(x)

-1/(1+x²)