Derivatives and Integrals of Trig and Inverse Trig

Integral of a^x

a^x / ln a + C

Integral of tan u du

-ln| cos u + C|

Integral of cot u du

ln|sin u| + C

Integral of sec u du

ln|sec u + tan u| + C

Integral of csc u du

-ln|csc u + cot u| + C

Integral of sec²u du

tan u du + C

Integral of csc²u du

-cot u + C

Integral of sec u tan u du

sec u + C

Integral of csc u cot u du

-csc u + C

Derivative of sin^-1(u/a)

1/ sqrt(a²-u²) du/dx

Derivative of tan^-1(u/a)

a/ a²+u² du/dx

Derivative of sec^-1(u/a)

a/ |u|sqrt(u²-a²) du/dx

Derivative of a^u

a^u ln a du/dx

Derivative of cos^-1x

-1/ sqrt(1-x²)

Derivative of cot^-1x

-1/ 1+x²

Derivative of csc^-1x

-1/ |x|sqrt(x²-1)

Derivative of log_ax

1/ (x ln a)

Integral of du/ sqrt(a²-u²)

sin^-1 (u/a) + C

Integral of du/ a²+u²

1/a tan^-1 (u/a) + C

Integral of du/ u sqrt(u²-a²)

1/a sec^-1 (|u|/a) + C