Find the integral value for f(r,θ) = 1 over this region, using Polar Coordinates

sifudrifter

New member
Joined
Apr 12, 2017
Messages
1
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

q6pretest.jpg
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.
 
Last edited by a moderator:
Top