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Complete Integrals
Basics in Calculus
Question | Answer |
---|---|
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 |