Test 2

Question 1

Intergration

Answer 1

dy/dx ax^n

= (a/n+1)x^(n+1) + c

Question 2

What curve did I differentiate? Questions

Answer 2

• Integrate gradient rule e.g. 3x^2 > x^3 + c
• so equation of curve is y = x^3 + c (your integrated value)
• substitute x and y to find c
• you now know the equation of the curve that was differentiated

Question 3

Area of a sector

Answer 3

(Angle in radians x r^2) / 2

Question 4

Arc length of a sector

Answer 4

Angle in radians x r

Question 5

180 degrees =

Answer 5

pi radians

Question 6

Radian definition

Answer 6

Arc length of unit circle (i.e. a circle with radius 1)

Question 7

Area under a curve between the x axis, x = a and x = b

Answer 7

• Find integral of the curve
• Insert a and b separately into this as x, and subtract one from the other
• Should be in the form [ ] - [ ]