$\"\"$

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Find the position function $\"\"$ if $\"\"$ .

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Velocity function of a particle is $\"\"$ .

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Position function is the anti derivative of velocity function.

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$\"\"$

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$\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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Apply integration by substitution : $\"\"$ .

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Let $\"\"$ , then $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in above equation.

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$\"\"$

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$\"\"$ .

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$\"\"$

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Substitute $\"\"$ in equation (1).

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find the value of $\"\"$ by using $\"\"$ .

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Consider $\"\"$ .

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

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$\"\"$

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

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$\"\"$

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Thus, the position function is $\"\"$ .

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$\"\"$

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The position function of the particle is $\"\"$ .