Definite and Indefinite Integrals
∫ 12x3 + 18x5 + 2 dx + 5x
What is 3x4+3x6+7x+C?
Hint: integral ends at "dx"
Power up: Add $100 to your bank
x-1∫2 (1 + cos(t)) dt
What is -ln(x) * (1 + cos(1/x))
Ability: Take $100 from another player
∫cos(3x) * sin3(3x) dx
What is 1/12 * (sin(3x)4 + C
Ability: Steal $200 from another player
The integral of v/t is where v is velocity and t is time
What is delta s where s is position?
Powerup: Double Chance
∫6x5 + 3 dx - ∫10x4 + 182 - 4 dx
What is x6 - 2x5 - 6x3 + 2x2 + 3x + C?
Hint: There is still +C in the expression
Ability: 10 second bonus
Summation rule of i2
What is [(n(n+1)(2n+1))]6?
Ability: Pick 2 slots in a row
0∫2 2x(x2 + 4)2
Simplify to a single fraction
What is 448/3?
Ability: Add $100 to your bank
∫P dt
Where P is power and t is time
What is work?
power up: Double Points
3∫e ((1/x) - (1/x2)) dx
What is -ln(3) + (2/3) + (1/e)
Ability: Gain or Lose $200 on next question
The right hand endpoint formula (limit definition).
What is a + ((b-a)/n))i
Ability: Double Points
∫x(x+2)1/2
What is 2/5 * (x+2)(5/2) - 4/3 * (x+2)3/2 + C?
Hint: x = u -2
Ability: Double Guess
The negative integral of force.
What is potential energy?
Power up: Calculator