C4

Question 1

What is the integral of Sinx

Answer 1

-cosx+c

Question 2

What is the integral of cosx

Answer 2

sinx+c

Question 3

What is the integral of tanx

Answer 3

ln[secx]+c

Question 4

What is a unit vector

Answer 4

The modulus of a vector

Question 5

How to add vectors

Answer 5

Triangle rule

Question 6

What can the binomial expansion be given as

Answer 6

1+nx+[n(n-1)x²]/2! + [n(n-1)(n-2)x^3]/3!

Question 7

What is the integral of sec²x

Answer 7

tanx+c

Question 8

What is the integral of cosecxcotx

Answer 8

-cosecx+c

Question 9

What is the integral of cosec²x

Answer 9

-cotx+c

Question 10

What is the integral of secxtanx

Answer 10

secx+c

Question 11

What is the integral of cos(ax+b)

Answer 11

1/a sin(ax+b)+c

Question 12

What is the integral of cosecx

Answer 12

-ln[cosecx+cotx}+c

Question 13

What is the integral of cotx

Answer 13

ln[sinx]+c

Question 14

What is the integral of secx

Answer 14

ln[secx+tanx]+c

Question 15

How do you find the area of a curve given parametrically

Answer 15

∫y dy/dx

Question 16

What is the integral of sin kx

Answer 16

1/k cos kx + c

Question 17

What is the integral of sec²kx

Answer 17

1/k tan kx + c

Question 18

How to work out volume using integration

Answer 18

∫ π y²dx

Question 19

If a = xi + yj + zk, what is the unit vector

Answer 19

[(xi + yj + zk) ÷ √(x² + y + z²)