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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