4.41. Evaluate (² + 1)² dz along the arc of the cycloid x = a(0-sin 6), y = a(1-cos) from the point where 0 = 0 to the point where 0 = 27.

Q: 6. Evaluate: secº (1/x) tan³ (1/x) dx x² | se

A: This question can be solved using integration by substitution.

Q: Find the arc length of the curve c(t) = (5 cos(t), 5 sin(t), -13t) on the interval 0 ≤ t ≤ 2.…

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Q: Find the arc length of the curve c(t) = (cos(9t), sin(9t), 2t³/2) on the interval 0 ≤ t ≤ 1.…

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Q: Find ſo F · dr for F = 8yi – (sin y)j on the curve counterclockwise around the unit circle C…

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Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: 3.. Compute the arc length of r(0) = 2+2sinə in exact form.

A: Solving the problem.