Find the area in the first quadrant bounded by the arc of the circle described by the polar equation r = 2 sin θ + 4 cos θ. the circle is graphed in the accompanying figure. a. 5π/2 b. 5 π c. 5π/2 + 4 d. 5 π + 8

The first quadrant restricts us to the domain . So the area of the region, call it , is

Expanding the integrand yields

Apply the double angle identities:

So the integral is

so the answer is C.

true

step-by-step explanation:

1. minimum

2. 6400

3. eight

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