Integral

Question 0

Trapezoidal rule

Answer 0

h/2(yfirst + ylast + 2yothers)

Question 1

Primitive

Answer 1

Add one to the index and divide by the new index.

Question 2

Simpsons rule

Answer 2

h/3(yfirst + ylast + 4yodd + 2yeven)

Question 3

Integrating a function of a function

Answer 3

Add one to the index, divide by the new index and the derivative of the brackets then plus c.

Only linear functions

Question 4

Calculating volume

Answer 4

Volume around x axis
A = the integral of Pi y^2dx

Volume around y axis
A = the integral of Pi x^2

1. Find x^2 or y^2 2. Find bounds
2. Integrate 4. Substitute.

Question 5

Integration but substitution

Answer 5

Make u = f(x) 
Find du/dx
du the subject 
Re arrange and sub in du
Integrate + c
Substitute u back in