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integration formulas
integrals
the indefinite integral of | equals |
---|---|
a dx | ax + C |
x^n dx | (1/(n+1)) x^ (n+1) + C |
1/x dx | ln IxI + C |
e^x dx | e^x + C |
a^ X dx | (a^x)/(lna) + C |
lnx dx | xlnx -x + C |
sinx dx | -cosx +c |
cos x dx | sinx + C |
tan x dx | ln IsecxI +C or -ln IcosxI + C |
cot x dx | ln IsinxI + C |
sec x dx | ln Isecx + tanxI +C |
csc x dx | ln Icscx- cotxI +C |
sec^2x dx | tanx +C |
secx tanx dx | secx + C |
csc^2X dx | -cotX +C |
cscx cotx dx | -cscx + C |
tan^2x dx | tanx -x +C |
dx/[a^2 + x^2] | 1/a Arctan(x/a) +C |
dx/[sqroot(a^2-x^2)] | 1/a Arcsin (x/a) + C |