Evaluate ∫∫rsinθdrdθ over the cardiod r = a(1+cosθ) above the initial line.
(a) \(4 \frac{a^2}{3} \)
(b) \( \frac{a^2}{3} \)
(c) \(8 \frac{a^2}{3} \)
(d) \(4 \frac{a^2}{6} \)
I got this question in an interview for internship.
My question is from Surface Integrals in chapter Vector Integral Calculus of Engineering Mathematics