$\"\"$

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The linear density of a rod of length $\"\"$ m is $\"\"$ .

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Rewrite the linear density function.

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$\"\"$

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The antiderivative of linear density is the mass of the rod.

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The antiderivative of $\"\"$ is

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$\"\"$

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Initially mass is measured from one end of the rod.

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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Therefore the mass of the rod from one end is $\"\"$ .

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$\"\"$

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Find the mass of the rod for $\"\"$ cm length.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Therefore the mass of the rod for $\"\"$ cm length is $\"\"$ g.

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$\"\"$

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The mass of the rod for $\"\"$ cm length is $\"\"$ g.