2020HSCMultiple choice

Q10

1 mark

Question

Which of the following is equal to $\displaystyle\int_0^{2a}f(x)\,dx$ ?

A. $\displaystyle\int_0^a[f(x)-f(2a-x)]\,dx$
B. $\displaystyle\int_0^a[f(x)+f(2a-x)]\,dx$
C. $\displaystyle2\int_0^a f(x-a)\,dx$
D. $\displaystyle\int_0^a\frac12f(2x)\,dx$

Try the question before revealing the answer.

Syllabus alignment

Calculus

Further IntegrationApply substitution, partial fractions, integration by parts and recurrence relationships to theoretical and practical problems.

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