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Mathematics · Ch 9 — Applications of Integration

Choose the Correct or the Most Suitable Answer

9.10

Choose the Correct or the Most Suitable Answer

This is the chapter's closing 20-question multiple-choice review (Exercise 9.10, "choose the correct or the most suitable answer"), drawing on every tool built across the chapter — the limit-of-a-sum definition, both Fundamental Theorems, all twelve properties of definite integrals, Bernoulli's formula, improper integrals, reduction formulae, the gamma integral, and the area/volume formulas of §§9.8-9.9. Each question is designed to be answered quickly by recognising which tool applies (an even/odd integrand, a Γ(n)=(n−1)!\Gamma(n)=(n-1)! pattern, a reduction-formula shape, a Fundamental-Theorem derivative-of-an-integral shape, etc.) rather than by grinding throug …