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Juan Set 1 Paper 1 · Q17

Paper 1Calculus

Let aa be a positive real number such that

∫14(ax+xa)dx=593a.\int_1^4\left(a\sqrt{x}+x\sqrt{a}\right)\dd x=\frac{59}{3}a.

What is aa?

A14\dfrac{1}{4}
B19\dfrac{1}{9}
C116\dfrac{1}{16}
D125\dfrac{1}{25}
E136\dfrac{1}{36}

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