Basic Derivatives & Integrals

Derivative of u^x

xu^x-1

Derivative of sin(u)

cos(u)

Derivative of cos(u)

-sin(u)

Derivative of tan(u)

sec²(u)

Derivative of cot(u)

-csc²(u)

Derivative of sec(u)

sec(u)tan(u)

Derivative of csc(u)

-csc(u)cot(u)

Derivative of ln(u)

1/u

Derivative of e^u

e^u

Derivative of a^u

a^ulna(du/dx)

Integral of sinx

-cosx + C

Integral of cosx

sinx + C

Integral of tanx

ln|secx| + C

Integral of sec²x

tanx + C

Integral of csc²x

-cotx + C

INtegral of secx*tanx

secx + C

Integral of cscx*cotx

-cscx + C

Integral of lnx

xlnx - x + C

Integral of 1/x

ln|x| + C

Integral of e^x

e^x + C

Integral of a^u

a^u/lna + C