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Complete Integrals

Basics in Calculus

QuestionAnswer
du u+c
kf(u)du kSf(u)du
[f(u)+g(u)du] Sf(u)du+Sg(u)du
u^n du (u^(n+1))/(n+1)+c
du/u ln|u|+c
e^u du e^u+c
a^x dx (a^x)/(lna)+c
lnx dx xlnx-x+c
sinx dx -cosx+c
cosx dx sinx+c
tanx dx -ln|cosx|+c
cotx dx ln|sinx|+c
secx dx ln|secx+tanx|+c
csc^2x dx -cotx+c
sec^2x dx tanx+c
cscx dx -ln|cscx+cotx|+c
secxtanx dx secx+c
cscxcotx dx -cscx+c
(du)/(squareroot[a^2-u^2]) arcsin (u/a)+c
(du)/(a^2+u^2) 1/a arctan (u/a)+c
(du)/u(squareroot[u^2-a^2]) 1/a arcsec(|u|/a)+c
Created by: ryski09
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