sifudrifter
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- Apr 12, 2017
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Sketch the region R, and then find the integral value for \(\displaystyle \, f(r,\, \theta)\,\) over this region, using Polar Coordinates.
Region R: \(\displaystyle r\, =\, 5\, \cos(\theta)\)
Sketch. (Hint: You may need to plot the center point and a known point on the circle to get the circular graph.)
Evaluate the double integral, \(\displaystyle \displaystyle \, \int_R\, \int\, f(r,\, \theta)\, d\theta,\,\) as an area evaluation.
a. upper limit of outer integral: \(\displaystyle \, \dfrac{\pi}{2}\)
b. lower limit of outer integral: can't get this
c. upper limit of inner integral: \(\displaystyle \, 5\, \cos(\theta)\)
d. lower limit of inner integral: 0
e. integrand: 1r dr

I need help I'm stuck on the integral with the red check mark, I tried (3pi)/2 but it wasn't correct. Can someone help me? Thanks in advance.
Region R: \(\displaystyle r\, =\, 5\, \cos(\theta)\)
Sketch. (Hint: You may need to plot the center point and a known point on the circle to get the circular graph.)
Evaluate the double integral, \(\displaystyle \displaystyle \, \int_R\, \int\, f(r,\, \theta)\, d\theta,\,\) as an area evaluation.
a. upper limit of outer integral: \(\displaystyle \, \dfrac{\pi}{2}\)
b. lower limit of outer integral: can't get this
c. upper limit of inner integral: \(\displaystyle \, 5\, \cos(\theta)\)
d. lower limit of inner integral: 0
e. integrand: 1r dr

I need help I'm stuck on the integral with the red check mark, I tried (3pi)/2 but it wasn't correct. Can someone help me? Thanks in advance.
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