Question $1(4\mathrm{.}5$ points$)$ Consider the polar equation r$(\backslash$theta $)=1+$sin$(3\backslash$theta $),(\backslash$pi theta pi $)/(6).$

a$.$ Determine the type of symmetry that its graph possesses.

b$.$ Sketch its graph. Use the polar chart below.

c$.$ Set up $($do not evaluate$)$ the integral necessary for computing the area bounded by r$=1+$sin$(3\backslash$theta $),(\backslash$pi theta pi $)/(6).$

Figure $1$: A blank polar chart for Question $1.$b$.$

I would appreciate it if you could include an explanation, please.