Unit 5: Calculus
Topic 5.5: Integration and Antiderivatives Questions
Practice 20 exam-style questions for IB Math AI SL Topic 5.5. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1find1 mark
2024
f'(x) = 4x and f(0) = 3. Which expression for f(x) is correct?
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2023
Given dy/dx = 6x², find y if y = 5 when x = 1.
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2023
Evaluate ∫[1 to 2] (3x² − 2x) dx.
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2023
f'(x) = 4x − 1 and f(0) = 5. Find f(1).
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2024
Find ∫(3x² − 4x + 1) dx and verify by differentiating your answer.
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2024
Find the area under y = 3x from x = 0 to x = 4.
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2024
f'(x) = 3x² − 2, f(1) = 4. Find f(x).
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2022
Given f'(x) = 10x − 3 and f(2) = 12, find f(x).
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2024
A curve has dy/dx = 3x² + 2 and passes through (1, 6). Find the equation of the curve.
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Find the area under y = 2x + 1 from x = 1 to x = 3.
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2024
The gradient of a curve is dy/dx = 6x − 4. Find the general equation of the curve.
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