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Integration and applications of integration — Question 1

QCAA 2025, Paper 1 · 1 mark

Q1 · 2025 · Technology-freeSimple familiar1 mark

QUESTION 1

Use the substitution u=x2u=x^2 to express ∫2xex2 dx\displaystyle\int 2xe^{x^2}\,dx in terms of uu.
(A)
∫eu du\displaystyle\int e^u\,du
(B)
∫12eu du\displaystyle\int \frac12 e^u\,du
(C)
∫ueu du\displaystyle\int ue^u\,du
(D)
∫2ueu du\displaystyle\int 2\sqrt{u}e^u\,du
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