Step 1:

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The length of the rod is $\"\"$ .

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The linear density of the rod one of its end is $\"\"$ . $\"\"$

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Find the mass of the rod $\"\"$ .

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The mass of the rod is obtained by integrating linear density from $\"\"$ to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The mass of the rod is $\"\"$ .

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Solution:

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The mass of the rod is $\"\"$ .