The length of a curve

Task number: 3144

Determine

  • Variant 1

    circumference of a circle with radius \(r\).

  • Variant 2

    the lenght of the curve \(y = x^{3/2}\) for \(x \in [0,a]\).

  • Variant 3

    the lenght of the curve \(y = \frac14 x^2 + \frac12 \ln x\) for \(x \in [1,e]\).

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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