Chapter 9: Q. 31 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by the function , where is a positive constant.
Short Answer
The area bounded by the function is
Chapter 9: Q. 31 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by the function , where is a positive constant.
The area bounded by the function is
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Get started for freeEach of the integrals or integral expressions in Exercises represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.
role="math" localid="1649518287481" .
Use polar coordinates to graph the conics in Exercises 44–51.
In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral
The spiral
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Each of the integrals or integral expressions in Exercises represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.
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