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20 Cards in this Set

  • Front
  • Back

int (k * f(u))du

k int (f(u))du

int ( f(u) +/- g(u) ) du

int (f(u))du + int (g(u))du

int (du)

u + C

int (u^n)du

(u^(n+1)) / (n + 1) + C


n cannot equal -1

int (du / u)

ln | u | + C

int (e^u)du

e^u + C

int (a^u)du

(1 / ln|a|)*a^u + C

int (sin(u))du

-cos(u) + C

int (cos(u)du)

sin(u) + C

int (tan(u)du)

-ln|cos(u)| + C

int (cot(u)du)

ln|sin(u)| + C

int (sec(u)du)

ln|sec(u) + tan(u)| + C

int (csc(u)du)

-ln|csc(u) + cot(u)| + C

int (sec^2(u)du)

tan(u) + C

int (csc^2(u)du)

-cot(u) + C

int (sec(u)*tan(u))du

sec(u) + C

int (csc(u)*cot(u))du

-csc(u) + C

int (du / (sqrt(a^2 - u^2))

arcsin(u/a) + C

int (du / (a^2 + u^2)

(1/a)*arctan(u/a) + C

int (du / (x*sqrt(u^2 - a^2))

(1/a)*arcsec(|u|/a) + C