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The area of the closed figure bounded by...

The area of the closed figure bounded by `x=-1x=2,` and `y={{:(-x^(2)+2",",xle1),(2x-1",",xgt1):}` and the abscissa axis is

A

`16//3` sq. units

B

`10//3` sq. units

C

`13//3` sq. units

D

`7//3` sq. units

Text Solution

Verified by Experts

The correct Answer is:
A

`A=overset(1)underset(-1)int(-x^(2)+2)dx+overset(2)underset(1)int(2x-1)dx`
`=(-(x^(3))/(3)+2x)_(-1)^(1)+(x^(2)-x)_(1)^(2)`
`=(16)/(3)` sq. units
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CENGAGE-AREA-Exercise (Single)
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  4. The value of the parameter a such that the area bounded by y=a^(2)x^(2...

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  7. The area inside the parabola 5x^(2)-y=0 but outside the parabola 2x^(2...

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  12. The area of the region bounded by x^(2)+y^(2)-2x-3=0 and y=|x|+1 is

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  13. The area enclosed by the curve y=sqrt(4-x^2),ygeqsqrt(2)sin((xpi)/(2sq...

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  14. The area bounded by the curve y^(2)=1-x and the lines y=(|x|)/(x),x=-...

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  15. The area bounded by the curves y=(log)e xa n dy=((log)e x)^2 is e-2s q...

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  20. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

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