Set up the integral to find the area inside the graph of r = 2 + sin 0. %3D

Q: Find the area of y = sin x, y = sin3 x

A:

Q: Evaluate the integral. Please refer to image.

A: Obtain curl F as follows.

Q: Find the area inside the 'figure eight'r = 1+ cos 20 and outside the circle r = 1.

A: Area inside r = 1 + cos2θ and outside r = 1 is shown by shaded region.

Q: 16-y2 16 – 22-y drdy by using appropriate coordinate system. an

A:

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: What is the area under one crest of the sine curve, from x = O to x = n? y=sin x dx 1/2

A: Given problem:-

Q: area bounded by the curve and perimeter when r^2=sin theta +cos theta

A: We used Octave to plot the above curve. And the code is:  theta=linspace(0,2*pi,1000);…

Q: Q4) Find the shared area between the two cardlold r=1+sin@ and r%3D1-sin0

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Q: Find the areg between Ye CosX an d y--SinX trom o tr .

A:

Q: Find the area of the shaded region of the graph of r=1+sin(0)

A: Consider the given function r=1+sinθ

Q: Express the signal fla)=x?+3x f the sine as a serles and cosine in the inter val c0,2A)

A:

Q: |10dx 1

A: The integral function is ∫11110dx.

Q: g)Sinhy=tanx ind

A: