Question

Asked May 19, 2019

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how to find

Find the area of the region enclosed by one loop of the curve.

r = sin(4θ)

Step 1

The given curve is r= sin4theta

Area of the curve enclosed in the first loop is,

Step 2

Two consecutive value of theta for which sin4theta,

Step 3

Now integrate from 0 to pi/4 .

Area enclosed by one of the loop is,

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