In this lesson, we will learn how to use integration to find the length of a curve.
Q1:
Using a trigonometric substitution, determine the arc length of the curve 𝑦=√4−𝑥 between 𝑥=0 and 𝑥=𝑘.
Q2:
Write the integral required to calculate the length of the sine curve between 𝑥=0 and 𝑥=𝜋. Do not evaluate it.
Q3:
Calculate the arc length of the curve 𝑦=√4−𝑥 between 𝑥=0 and 𝑥=2, giving your answer to 5 decimal places.
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