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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-1/8/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2022 / Paper 1 / 8 / Solution by

Codex  0 2026-10-18

Use the substitution rule with

u = x

, for which

d u = d x / (2 x)

on

x > 0

. The integral becomes

\int e^{u} d u

, giving the antiderivative

e^{x} + C .

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