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Mathematics
Mathematics
Problem
Determine the area that is inside the curve
r
=
1
+
sin
θ
r=1+\sin\theta
r
=
1
+
sin
θ
and outside the circle
r
=
1
r=1
r
=
1
for
0
≤
θ
≤
π
0\le\theta\le\pi
0
≤
θ
≤
π
. a)
2
+
3
π
4
2+\dfrac{3\pi}{4}
2
+
4
3
π
b)
1
+
π
4
1+\dfrac{\pi}{4}
1
+
4
π
c)
2
+
π
4
2+\dfrac{\pi}{4}
2
+
4
π
d)
π
4
\dfrac{\pi}{4}
4
π
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