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Unattributed TMUA Mock Set A Paper 2 · Q12

Paper 2Calculus

For a positive number aa, let

I(a)=∫0a(4−2x2) dx.I(a)=\int_0^a(4-2^{x^2})\,dx.

Then dIda=0\dfrac{dI}{da}=0 when aa equals

A1+52\frac{1+\sqrt5}{2}
B2\sqrt2
C1−52\frac{1-\sqrt5}{2}
D11
E22

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