Calculus Chaos
The missing piece of an indefinite integral that makes every QCAA marker cry.
What is + c (the constant of integration)?
The total area under any continuous probability density function (PDF).
What is 1?
The exact value of cos(pi/3).
What is 1/2?
The rule that can be used to determine an internal angle when the three sides of a triangle are known.
What is the cosine rule?
The highly anticipated open-world video game sequel set in Leonida (Florida) that is currently taking over the internet and destroying everyone's study schedules.
What is GTA6? (Grand Theft Auto VI)
The derivative of f(x) = e3x
What is 3e3x?
The expected number of heads when a fair coin is tossed 100 times.
What is 50?
The solution to ln(x) = 2.
What is x = e²?
The rule used to determine b, if a, B and A are known.
What is the sine rule?
The biggest tournament in international football that was won by Spain in 2026.
What is the FIFA World Cup?
The physical propery you get by taking the second derivative of a particles position function f(t).
What is acceleration
The approximate percentage of data that falls within 1 standard deviation of the mean in a normal distribution.
What is 68%
The range of y = ex - 2 + 3.
What is y > 3?
The second quadrant ratio that is equivalent to sin (60°).
What is sin(120°)?
A movie about the forgotten Peter Parker released in 2026.
What is Spider-Man: Brand New Day?
After finding a stationary point by setting f'(x) = 0, this is the extra step required to prove it is a local maximum.
What is checking the nature (using a sign diagram of f'(x) or showing the second derivative f''(x) < 0)?
The variance of X, where X is a binomial random variable with n = 20 and p = 0.4.
What is 4.8?
The shape of a function when the second derivative is positive.
What is concave up?
The maximum of y = 3cos(2(x - 5)) + 6.
What is 9?
November 20th.
What is the final day of school for year 12 students in 2026?
True or False: The definite integral from a to b of a function always equals the total physical area bounded by the curve and the x-axis.
What is False? Areas below the axis are calculated as negative integrals, so they cancel out unless split up.
The margin of error for a confidence interval of (0.42, 0.48).
What is 0.03 or 3%?
The behaviour of a function when the derivative is negative.
What is decreasing?
The period of y = 3sin(2x + pi) - 4.
What is pi?
This show was ranked as the most-watched show on Netflix in the first half of 2026
What is Stranger Things?