A student will use a numeric integration feature that accepts an integrand g(θ) on the interval [a,b] and then plans to multiply the result by 21 to approximate the area enclosed by the polar curve r=f(θ) for a≤θ≤b. Which choice for g(θ) will produce the correct area estimate?
a) 21f(θ)2
b) f(θ)
c) f(θ)2
d) f(θ)2sinθ