Antiderivatives and definite integrals

Reverse the power rule and evaluate definite integrals with the Fundamental Theorem of Calculus.

Standards:AP Calc AB · Unit 6

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

Find the definite integral: ∫₁³ (4x³ - 6x) dx

Question 2 of 3

Find the area under the curve f(x) = 3x² from x = 1 to x = 3.

Question 3 of 3

Find the area under the curve f(x) = 3x² from x = 1 to x = 4.

How this fits in

Antiderivatives and definite integrals is one skill in the Intro to Calculus unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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