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(1 point) Set up the double integral in polar coordinates (do not compute the integral!) for finding the area of the region in the plane defined b

`D:{(-x<=y<=x),((x-4)^(2)+y^(2)<=16):}`

A.

`\int_(\theta =-(\pi )/(2))^(\theta =(\pi )/(2)) \int_(r=0)^(r=sin(\theta )) drd\theta `

B.

`\int_(\theta =-(\pi )/(4))^(\theta =(\pi )/(4)) \int_(r=0)^(r=12cos(\theta )) rdrd\theta `

C.

`\int_(\theta =-(\pi )/(4))^(\theta =(\pi )/(4)) \int_(r=0)^(r=4) drd\theta `

D.

`\int_(\theta =-(\pi )/(2))^(\theta =(\pi )/(2)) \int_(r=0)^(r=4) rdrd\theta `

E.

`\int_(\theta =-(\pi )/(4))^(\theta =(\pi )/(4)) \int_(r=0)^(r=8cos(\theta )) rdrd\theta `