Derivatives
Anti Derivatives
Revolving
Series
100

x2

2x

100

xdx

x5/5+C

100

What does one put in front of the integral?

a pi symbol

100

What are the two options a series can go to?

Converges or diverges

200

ln x

1/x

200

2/x dx

2ln x+C
200

do you square the inside of the integral?

yes

200

If a series diverges, what does that mean?

The series goes to infinity or negative infinity.

300

sin x

cos x

300

cos x dx

sin x+C

300

Which method do you only use one radius?

Disk Method
300

In the P-Series test, if p is greater than one what will the series do?

Converges

400

sec x

sec x tan x

400

-csc x cot x dx

csc x+c

400

Which method uses two radiuses?

Washer method

400

In a geo series, if r is greater than or equal to 1, what will it do?

Diverges

500

In washer method, which equation goes first in the integral?

The top equation

500

What is the last test you should use?

Integral test