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Area between curves

21 practice questionsIntegral CalculusStep-by-step solutions

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1

Find the area enclosed by the curves y12=9xy_1^2=9x and y2=x29y_2=\frac{x^2}{9}

A.34\,unit^2
B.54\,unit^2
C.27\,unit^2
D.16\,unit^2
E.None
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2

Find the area enclosed between y=x24y=x^2-4 and y=4x2y=4-x^2.

A.643\dfrac{64}{3}
B.323\dfrac{32}{3}
C.1616
D.1283\dfrac{128}{3}
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3

Find the area enclosed by y=10x2y=10-x^2 and y=x2+2y=x^2+2.

A.643\dfrac{64}{3}
B.323\dfrac{32}{3}
C.643\dfrac{64}{3} with opposite sign convention, i.e. 643-\dfrac{64}{3}
D.1283\dfrac{128}{3}
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