Solution of IDZ Ryabushko 9.2 - Variant 8

Section: Chapter 9. Definite Integral
Topic: Applications of the Definite Integral: Geometry
Description: Calculation with an accuracy of two decimal places of areas of plane figures bounded by lines (in Cartesian, parametric, and polar coordinates), lengths of arcs of curves, volumes of solids of revolution, areas of surfaces of revolution.

Tasks:
1. Calculate (to two decimal places) the area of a figure bounded by the specified lines
2. Calculate (to two decimal places) the arc length of a given curve
3. Calculate (to two decimal places) the volume of a solid formed by rotating a figure around a specified coordinate axis
4. Calculate (to two decimal places) the surface area formed by rotating an arc of a curve around a specified axis

The ready solution includes:
• Complete solution of all 4 tasks of the variant
• Detailed explanations for each step
• All formulas and calculations
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