Derivatives
derive x2
2x
antiderive x4
x5/5 +c
what is in front of the integral?
a pi sign (π)
what are the two options that a series can go to?
converge or diverge
derive ln x
1/x
antiderive 2/x
2lnx+c
do you square it?
yes
if a series diverges, what does it mean?
it either goes to infinity or -infinity
derive sin x
cos x
antiderive cos x
sin x +c
which method do you only use 1 radius
disk method
for the p-series test, if the p is greater than 1 what will the series do?
it converges
derive -cos x
sin x
antiderive -csc2x
cot x +c
washer method
for geo test, if the r is greater or equal to 1 what will the series do?
diverges
derive sec x
sec(x)tan(x)
antiderive -csc(x)cot(x)
csc x +c
in washer method, which equation goes first?
the top line
what is the last test you should use?
integral test