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integral of csc²x
-cotx+c
integral of secxtanx
secx + c
integral cscxcotx
-cscx+c
integral of 1/u
ln|u| + C

derivative of this
1/uln|a| • du/dx
derive a^u
a^u • lna • du/dx
integrate a^u
a^u/lna + C
integrate tanx
-ln |cosx| + C
intg cotx
ln |sinx| + C
intg secx
ln |secx+tanx| + C
intg cscx
-ln |cscx+cotu| + C