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Area Under a Parametric Curve
Worksheet
Grade Level
Calculus II
CAL2.101 Area Under a Parametric Curve
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For the parametric curve x(t)=arctan(2t), y(t)=t
2
+5, 0≤t≤2, which integral gives the area under the curve with respect to x?
A
∫_{0}
2
(t
2
+5)(2/(1+4t
2
)) dt
B
∫_{0}
2
(arctan(2t))(2t) dt
C
∫_{0}
2
(t
2
+5) dt
D
∫_{0}
2
(arctan(2t))(2/(1+4t
2
)) dt
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