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Mathematics
Mathematics
Problem
Determine the exact area enclosed by the curve
r
=
2
+
2
cos
θ
r = 2 + 2\cos\theta
r
=
2
+
2
cos
θ
for
0
≤
θ
≤
π
2
0 \le \theta \le \dfrac{\pi}{2}
0
≤
θ
≤
2
π
. a)
3
π
2
+
5
\dfrac{3\pi}{2} + 5
2
3
π
+
5
b)
3
π
+
8
3\pi + 8
3
π
+
8
c)
3
π
2
+
4
\dfrac{3\pi}{2} + 4
2
3
π
+
4
d)
3
π
3\pi
3
π
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