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integral of tanx
ln| sec x | + C
integral of cotx
-ln| cscx | + C
integral of secx
ln| secx + tanx | + C
integral of cscx
-ln| cscx + cotx | + C
integral of a^x
(a^x)/ln(a) + C
derivative of a^x
a^x times lna times chain rule of x
integral of 1/x
ln|x| + C
integral of lnx
xlnx - x
derivative of log base a of b
lnb/lna ——> 1/lna times 1/b
derivative of lnx
1/x times chain rule
derivative of arcsinx
1/sqrt(1-x²)
derivative of arccosx
-1/sqrt(1-x²)
derivative of arccscx
-1/sqrt(x²-1) |x|
derivative of arcsecx
1/sqrt(x²-1) |x|
derivative of arctanx
1/x²+1
derivative of arccotx
-1/sqrt(x²+1)
integral of 1/sqrt (a²-u²)
arcsin u/a + c
integral of 1/a²+u²
1/a arctan u/a + c
integral of 1/u(u²-a²)
1/a arcsec |u|/a + C