Word Count : 220

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We are asked to evaluate the integral: $$ \int_0^{10} \frac{dx}{\sqrt{10x - x^2}} $$ --- ### Step 1: Simplify the integrand We begin by simplifying the expression inside the square root: $$ 10x - x^2 = -x^2 + 10x = -\left(x^2 - 10x\right) = -\left(x^2 __________ ________ _______ _______ ________ __________.
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