Consider a thin rod oriented on the x-axis over the interval [2, 6], where x is in meters. If the density of the rod is given by the function ρ(x) = 6 + e^3x , in kilograms per meter, what is the mass of the rod in kilograms? Enter your answer as an exact value.
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Consider a thin rod oriented on the x-axis over the interval [2, 6], where x is in meters. If the density of the rod is given by the function ρ(x) = 6 + e^3x , in kilograms per meter, what is the mass of the rod in kilograms? Enter your answer as an exact value.
![Consider a thin rod oriented on the x-axis over the interval [2, 6], where x is in meters. If the density of the rod is given by the function ρ(x) = 6 + e^3x , in kilograms per meter, what is the mass of the rod in kilograms? Enter your answer as an exact value.](https://www.doubtrix.com/uploads/editor/3389457111ZYgwRWzTGB.png)
![Consider a thin rod oriented on the x-axis over the interval [-4, 3], where x is in meters. If the density of the rod is given by the function ρ(x) = x^2 + 1, in kilograms per meter, what is the mass of the rod in kilograms? Enter your answer as an exact value.](https://www.doubtrix.com/uploads/editor/8705585067wiqlAQBLiD.png)
![Consider a thin rod oriented on the x-axis over the interval [0, 1], where x is in meters. If the density of the rod is given by the function ρ(x) = 7x^3/4 + 8, in kilograms per meter, what is the mass of the rod in kilograms? Enter your answer as an exact value.](https://www.doubtrix.com/uploads/editor/7435014442PMMUGFwOwl.png)
![Consider a thin rod oriented on the x-axis over the interval [2π/3, 5π/3], where x is in meters. If the density of the rod is given by the function ρ(x) = 4sin(x) + 5, in kilograms per meter, what is the mass of the rod in kilograms? Enter your answer as an exact value.](https://www.doubtrix.com/uploads/editor/6598548255zGZVLhAjci.png)