Jeopardy: Antiderivatives Edition 🎉

Power Rule Party

100

Find ∫ x²dx

What is (x³)/3 + C?

200

Find ∫x⁵dx

What is x⁶/6 + C?

300

Find ∫ 7x³dx

What is (7/4)x⁴ + C?

400

Find ∫(4x⁹-2x)dx

What is (4/10)x¹⁰ - x² + C?

Constant Craze

100

Find ∫ 5 dx

5x + C

200

Find ∫-3dx

-3x + C

300

Find ∫(8 - 4x⁰)dx

4x + C

400

Find ∫(π + √2)dx 

(π + √2)x + C

Trig Time

100

Find ∫ cos(x) dx

sin(x) + C

200

Find ∫ sin(x) dx

−cos(x) + C

300

Find ∫ sec²(x) dx

tan(x) + C

400

Find ∫ (4cos x − 2sin x) dx

4sin x + 2cos x + C

The Mysterious 1/x

100

Find ∫ 1/x dx

ln|x| + C

200

Find ∫ 3(1/x) dx

3ln|x| + C

300

Find ∫ (1/x + 5) dx

ln|x| + 5x + C

400

Find ∫ (10/x + x³) dx

10ln|x| + ¼x⁴ + C

Fun Section

100

True or False:
“Your brain uses more energy doing integrals than running.”

False — your brain always uses a ton of energy no matter what you’re doing!

200

Which graph describes a student’s motivation during the semester?
A) Linear
B) Exponential
C) Negative slope decreasing fast

C is the correct answer!

300

What is the official meaning of ‘simplify’?
A) Combine like terms
B) Make it pretty
C) Do whatever the professor likes

C is the correct answer again!

400

If ∫ 1/x dx could say one phrase, what would it be?
A) “Don’t forget my bars!”
B) “I’m basically the king of logs.”
C) “Why am I not power rule???”

C is the correct answer again??