Radical in Radical Integral

Calculus Level 4

∫ 0 3 9 x + 4 + 81 x 2 2 x d x \int_{0}^{3}\sqrt{\dfrac{9x+\sqrt{4+81x^{2}}}{2x}} \, dx Which of the following values is the best approximation to the value of the integral above?

9.517 8.792 6.294 7.329 10.114

S. P. by S. P. , 16, USA

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