 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2024/paper-2/14/b/ii/solution

(- 1, 0)

(0, 1)

(1, 0)

and is zero elsewhere, as shown in the right panel of the timing figure. Its area is

\int_{- \infty}^{\infty} q (t) d t = 2 \int_{0}^{1} (1 - t) d t = 1 .

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