Calc formula quizzes (copy)

1-21 derivatives 1-18 integrals

d/dx[cu]

cu’

d/dx[u+-v]

u’+-v’

d/dx[uv]

uv’+vu’

d/dx[u/v]

(vu’-uv’)/v^2

d/dx[c]

0

d/dx[u^n]

nu^(n-1) (u’)

d/dx[x]

1

d/dx[|u|]

(u/|u|) (u’)

d/dx[lnu]

u’/u

d/dx[e^u]

e^u(u’)

d/dx[logau]

u’/(lna)(u)

d/dx[a^u]

(lna)(a^u)(u’)

d/dx[sinu]

(cosu)u’

d/dx[cosu]

-(sinu)u’

d/dx[tanu]

(sec^2u)u’

d/dx[cotu]

-(csc^2u)u’

d/dx[secu]

(secutanu)u’

d/dx[cscu]

-(cscucotu)u’

d/dx[arcsinu]

u’/rad(1-u^2)

d/dx[arccosu]

-u’/rad(1-u^2)

d/dx[arctanu]

u’/(1+u^2)

∫kf(u)du

k∫f(u)du

∫[f(u)+-g(u)]du

∫f(u)du+-∫g(u)du

∫du

u+C

∫u^ndu

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

∫du/u

ln|u|+C

∫e^udu

e^u+C

∫a^udu

(1/lna)a^u+C

∫sinudu

-cosu+C

∫cosudu

sinu+C

∫tanudu

-ln|cosu|+C

∫cotudu

ln|sinu|+C

∫secudu

ln|secu+tanu|+C

∫cscudu

-ln|cscu+cotu|+C

∫sec^2udu

tanu+C

∫csc^2u du

-cotu+C

∫secutanudu

secu+C

∫cscucotudu

-cscu+C

∫du/(rada^2-u^2)

arcsin(u/a)+C

∫du/(a^2+u^2)

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