Find the length of the curve yequalsthree fifths x Superscript 5 divided by 3 Baseline minus three fourths x Superscript 1 divided by 3 Baseline plus 8
 for 1less than or equalsxless than or equals8.

To find the length of the curve given by the function \( y = \frac{3}{5}x^{

Find the length of the curve y = 3/5 x^(5/3) - 3/4 x^(1/3) + 8 for 1 ≤ x ≤ 8.

Learn how to calculate the length of the curve defined by y = 3/5 x^(5/3) - 3/4 x^(1/3) + 8 within the interval 1 ≤ x ≤ 8 using calculus. This problem involves the use of the curve length formula and the fundamental theorem of calculus. Suitable for students in Grades 11-12.

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