Unit 5: Calculus
Topic 5.11: Integration techniques (HL only) Questions
Practice 12 exam-style questions for IB Math AI SL Topic 5.11. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
21 mark
2026
If F(x) = ∫f(x) dx and F is correct, then differentiating F gives:
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2026
For ∫ 1/(5x + 2) dx, the constant in front of the logarithm is:
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2026
Which integrand is a candidate for the reverse chain rule?
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2026
Use the substitution u = x² to find ∫ x·ex² dx.
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2026
Find ∫ 8/(2x + 3) dx, giving the exact answer.
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2026
Find ∫ 6x²(x³ + 1)⁵ dx using u = x³ + 1.
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2026
The rate of change of a population is P′(t) = 200 e0.5t (per year). Given P(0) = 800, find P(t).
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