Chapter 5: Natural Logs and Inverse Functions

derivative of ln x

1/x

integral of 1/x

ln |x| + c

derivative of e^x

e^x

integral of e^x dx

e^x + c

derivative of a^x

a^x ln a

derivative of log a (x)

1/x ln a

integral of a^x dx

1/ln a * a^x + c

integral of 1/sqrt 1-u^2

inverse sin + c

intergrak of 1/ 1+u^2

inverse tan + c

integral of 1/|u| sqrt u^2 -1

inverse sec + c