Marksberg radially has a population density of 1000e^−0.01r2 people per km^2, where r is the radius (in km) from the sky river. What is the total population living within 5 km of the sky river?  I think this relate with double integral. But I cannot find a reasonable formula to integrate. Please answer it with clear explaination, steps and details. Thank you so much

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Chapter2: Second-order Linear Odes
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Marksberg radially has a population density of 1000e^−0.01r2 people per km^2, where r is the radius (in km) from the sky river. What is the total population living within 5 km of the sky river? 

I think this relate with double integral. But I cannot find a reasonable formula to integrate. Please answer it with clear explaination, steps and details. Thank you so much!

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