Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result.\\ \( \int_0^3 \frac{2x}{\sqrt{x^2 + 16}} dx \)
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Step 1: First, we can simplify the integrand by factoring out a 2 from the numerator: \[ \int_0^3 \frac{2x}{\sqrt{x^2+16}}dx = 2\int_0^3 \frac{x}{\sqrt{x^2+16}}dx \] Show more…
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