math quiz 1

integral (x*e^x)=

xe^x - e^x

fubini

over a rectangle you can integrate in any order

intba intdc (f dy dx) ,

dy to cd comes first (inner)

$$\iint f\,dA=\left(\int g\,dx\right)\left(\int h\,dy\right)$$

if rectangle

integral 1/u

ln u

integral of

ln(𝑢) with respect to u is

𝑢ln(𝑢)−𝑢

ln 1 =

0

integral sin =

-cos

ln e =

1