Chapter 11 Integration - Year 2

Question 1

What happens when you integrate cosexxcotx?

Answer 1

-cosecx +c

Question 2

What happens when you integrate (cosecx)^2?

Answer 2

-cotx + c

Question 3

What are the different ways to integrate?

Answer 3

Inspection
Reverse chain rule
Substitution
Trig identities
By parts
Partial fractions

Question 4

How do you integrate:

Answer 4

Question 5

How do you integrate:

Answer 5

Question 6

With substitution what is the best way to set it up?

Answer 6

Before integrating state the substitution
Find dx
Find what u is equal to
Change the bounds

Question 7

If you have an answer to an integral that has a constant at then end what can you do?

Answer 7

You can use a different constant and get rid of the constant

Question 8

What do you need to remember when using the reverse chain rule for sec and cosec?

Answer 8

When you differentiate them you multiply by the same trig function so if doing reverse chain rule you don’t add 1 to the power

Question 9

State the by parts formulae?

Answer 9