| Sample Category |
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|---|---|---|---|
| $1 | $2x$ | $2x$ $ x^2+47 $ |
$2x$ $ x^2+C $ |
| Click on the dollar amount to see the “answer”. |
|
Calculus Jeopardy!
Remember to end all of your questions with “$+C$” |
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Constants | Power Rule | Exponential Functions |
Chain Rule |
General Formulae |
Stuff We Can’t Do Yet |
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| $200 | $ 0 $ | $0$ $ +C $ |
$200 | $ 3x^2 $ | $3x^2$ $ x^3+C $ |
$200 | $ e^x $ | $e^x$ $ e^x+C $ |
$200 | $ xe^{x^2+5} $ | $xe^{x^2+5}$ $ \frac{1}{2}e^{x^2+5}+C $ |
$200 | $ kx^n $ | $kx^n$ $ \frac{k}{n+1}x^{n+1}+C $ |
$200 | $ xe^x $ | $xe^x$ integrationby parts (calculus 2) |
| $400 | $ 1 $ | $1$ $ x+C $ |
$400 | $ 7x^3-6x $ | $7x^3-6x$ $ \frac{7}{4}x^4-3x^2+C $ |
$400 | $ e^{3x} $ | $e^{3x}$ $ \frac{1}{3}e^{3x}+C $ |
$400 | $ (2-3x)^8 $ | $(2-3x)^8$ $ -\frac{1}{27}(2-3x)^9+C $ |
$400 | $ e^{kx} $ | $e^{kx}$ $ \frac{1}{k}e^{kx}+C $ |
$400 | $ \ln x $ | $\ln x$ integrationby parts (calc 2 again) |
| $600 | $ \frac{59}{3}+\pi $ | $\frac{59}{3}+\pi$ $ (\frac{59}{3}+\pi)x+C $ |
$600 | $ 12\sqrt{x} $ | $12\sqrt{x}$ $ 8x^{\frac{3}{2}}+C $ |
$600 | $ \frac{1}{x} $ | $\frac{1}{x}$ $ \ln x+C $ |
$600 | $ \sin(3x) $ | $\sin(3x)$ $ -\frac{1}{3}\cos(3x)+C $ |
$600 | $ \cos(kx) $ | $\cos(kx)$ $ \frac{1}{k}\sin(kx)+C $ |
$600 | $ \sqrt{x^2+3} $ | $\sqrt{x^2+3}$ trigonemtricsubstitution (yup, calc 2) |
Neil Simonetti