Integral/derivative memory quiz

d/dx(sinu)

cosu

d/dx(cosu)

-sinu

d/dx(tanu)

sec^2u

d/dx(cotu)

-csc^2u

d/dx(secu)

secutanu

d/dx(cscu)

-cscucotu

d/dx(lnu)

1/u

d/dx(log a u)

1/ulna

d/dx(a^u)

a^ulna

d/dx(e^u)

e^u

d/dx(sin^-1u)

1/sqrt(1-u^2)

d/dx(cos^-1u)

-1/sqrt(1-u^2)

d/dx(tan^-1u)

1/1+u^2

d/dx(cot^-1u)

-1/1+u^2

d/dx(sec^-1u)

1/|u|sqrt(u^2-1)

d/dx(csc^-1u)

-1/|u|sqrt(u^2-1)

int(u^n)

(u^n+1)/n+1

int(1/u)

ln|u|

int(cosu)

sinu

int(sinu)

-cosu

int(sec^2u)

tanu

int(csc^2u)

-cotu

int(secutanu)

secu

int(cscucotu)

-cscu

int(tanu)

-ln|cosu|

int(cotu)

ln|sinu|

int(secu)

ln|secu+tanu|

int(cscu)

-ln|cscu+cotu|

int(lnu)

ulnu-u

int(log a u)

(ulnu-u)/lna

int(e^u)

e^u

int(a^u)

a^u/lna

int(1/sqrt(1-u^2))

sin^-1u

int(1/1+u^2)

tan^-1u

int(1/usqrt(u^2-1))

sec^-1|u|