Integration: running the derivative backwards.
Anti-differentiation, the fundamental theorem of calculus, exact areas, and recovering motion from velocity. From here on, the ClassPad becomes a serious tool, so every lesson includes a ClassPad guide and tags each question as calculator-free or calculator-assumed to match the exam.
Lesson 1
Anti-derivatives & Definite Integrals
Reversing the power rule, finding the constant, rectangle approximations, and the fundamental theorem of calculus. Twenty practice questions, ten harder ones, and a ClassPad guide.
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Areas & Motion
Areas under and between curves, and displacement and distance from velocity, including the absolute-value trick on the ClassPad. Twenty practice questions, ten harder ones, and a ClassPad guide.
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The Fundamental Theorem of Calculus
The signed area function, the proof that differentiating accumulated area returns the original curve, and the total-change formula that follows. Twenty practice questions, ten harder ones, and a ClassPad guide.
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