Trig and Inverse Trig: Derivatives, Identities, Integrals

not including sin cosine derivatives/integrals

Integral of Tangent

negative natural log of cosine OR natural log of secant

Integral of Cotangent

natural log of sine

Integral of Secant

natural log (secant + tangent)

Integral of Cosecant

negative natural log (cosecant + cotangent) OR natural log (cosecant - cotangent)

Integral plus or minus du/(a²+u²)

1/a arc tan u/a (+)

1/a arc cot u/a (-)

Integral plus or minus du/v/(a²-u²)

arc sin u/a (+) or arc cos u/a (-)

Integral plus or minus du/ |u| v/(u²-a²)

1/a arc sec u/a (+) or 1/a arc csc u/a (-)

Power Reducing Identity: sin²(x)

(1-cos2x)/2

Power Reducing Identity: cos²(x)

(1+cos2x)/2

Power Reducing Identity: tan²(x)

(1-cos2x)/(1+cos2x)

Double Angle Identity: sin 2x

2 sinxcosx

Double Angle Identity: cos 2x

cos²x-sin²x

1-2sin²x

2cos²x-1