This bingo card has 16 words: Used partial derivatives and felt briefly powerful, Saw ∇ and prepared for impact, Tried one substitution, abandoned it, and pretended it never happened, Spent more time setting up the integral than solving it, Made peace with the fact that the answer has π in it, Taught Cem or Eliyas a concept and accidentally learned it better, Said “this is probably easier in polar” and immediately regretted it, Found out the hard part was choosing the method, Liza thinks my brain is continuously differentiable (Free space!), Trusted the cancellation a little too early, Got humbled by a region that looked simple, Remembered the Jacobian before it ruined everything, Forgot one differential and nearly committed mathematical fraud, Realized the problem was just chain rule wearing a disguise, Spent five minutes deciding whether the answer should be positive and Used symmetry and felt chosen by the math gods.
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