Calc Memory Bin

d/dx a^x

a^x lna

d/dx uv

u’v+uv’

d/dx u/v

(u’v-uv’)/v²

lnx

1/x

d/dx log.a.x

1/(xlna)

S udv

uv-S vdu

d/dx f(g(x))

f’(g(x))•g’(x)

S log.a.u du

(u lnu- u)/ln a +C

Eulers Method

(x, y) | dy/dx | >x | >y | new (x, y)

S a^u du

(a^u)/(lna) + C

S lnu du

u lnu -u +C

S cotx dx

ln|sin|x +C

d/dx tanx

sec²x

d/dx cotx

-csc²x

d/dx secx

secx tanx

d/dx cscx

-cscx cotx

S 1/u du

ln|u| +C

S u^n

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

d/dx arc tanx

1/(1+x²)

d/dx arc cotx

-1/(1+x²)

d/dx arc sinx

1/root(1-x²)

d/dx arc cosx

-1/root(1-x²)

d/dx arc secx

1/(|x|root(x²-1)

d/dx arc cscx

-1/(|x|root(x²-1)

Population Size

M/(1+Ae^-kt)

L(x)

f(a)+f’(a)(x-a)

Newtons Law of Cooling

T-T.b. = (T.0. - T.b.) e^-kt