Calculus Final

Question 1

Trig Sub - what do you do when both cos and sin are odd?

Answer 1

Either strategy

Question 2

Trig Sub - what do you do when sin is even and cos is odd?

Answer 2

Sub u=sin x and rewrite cos^2x as 1-sin^2x

Question 3

Trig Sub - what do you do when both sin and cos are even?

Answer 3

half-angle identities

Question 4

Trig Sub - what do you do when sin is odd and cos is even?

Answer 4

sub u=cos x and rewrite sin^2x as 1-cos^2x

Question 5

Trig Sub - what do you do when both tan and sec are odd?

Answer 5

Sub u=sec x and rewrite tan^2x as sec^2x -1

Question 6

Trig Sub - what do you do when sec is even and tan is odd?

Answer 6

Either or

Question 7

Trig Sub - what do you do when both tan and sec are even?

Answer 7

Sub u=tan x and rewrite sec^2x as 1+tan^2x

Question 8

Trig Sub - what do you do when sec is odd and tan is even?

Answer 8

No specific strategy

Question 9

What is tan^2x equal to

Answer 9

sec^2x-1

Question 10

What is sin^2x equal to

Answer 10

1-cos^2x

Question 11

What is the half-angle identity for sin^2x

Answer 11

1/2(1-cos(2x))

Question 12

What is the half-angle identity for cos^2x

Answer 12

1/2(1+cos(2x))

Question 13

What is the integral of tan(x)

Answer 13

ln |sec(x)| + C

Question 14

What is the integral of sec(x)

Answer 14

ln |sec(x) + tan(x)| + C