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Beyond Horizon Set 1 Paper 1 · Q10

Paper 1CalculusFunctions & graphs

Let p(x)p(x) be a continuous function which is positive for all xx and

∫23p(x) dx=c∫02p(x+42) dx.\int_2^3p(x)\,dx=c\int_0^2p\left(\frac{x+4}{2}\right)\,dx.

Then

Ac=4c=4
Bc=−14c=-\frac14
Cc=14c=\frac14
Dc=2c=2
Ec=−12c=-\frac12
Fc=12c=\frac12

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