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In this lesson, we will learn how to set up the integral that gives the arc length of the smooth curve defined as y=f(x) between two points.

Q1:

Calculate the arc length of the curve π¦ = β 4 β π₯ 2 between π₯ = 0 and π₯ = 2 , giving your answer to 5 decimal places.

Q2:

Work out the length of the arc π¦ = π₯ + 3 2 3 2 π₯ ο¬ ο¨ between π₯ = 1 and π₯ = 3 . Give your answer as a fraction.

Q3:

Find the function π ( π₯ ) which gives the length of the arc π¦ = β π₯ 3 from ( 0 , 0 ) to ο» π₯ , β π₯ ο 3 .

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