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The area bounded by the curve y = x|x|,x...

The area bounded by the curve `y = x|x|`,x-axis and the ordinates `x=-1, x=1` is given by:

A

0

B

`1/3`

C

`2/3`

D

`4/3`

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
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  2. Area bounded by the curve y = x^3, the x-axis and the ordinates x = –...

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  3. The area bounded by the curve y = x|x|,x-axis and the ordinates x=-1, ...

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  4. (a) (i)Find the area of the circle x^2+y^2=16, which is exterior to th...

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  5. The area bounded by the y-axis, y = cosx, and y = sinx when 0<x<π/2 is...

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  6. Find the area of the region bounded by the parabolas y^2=6x and x^2=6y...

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  7. Find the area of the region bounded by the curves x=at^2 and y=2at bet...

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  8. Find the area enclosed by the curve : x=3 cos t, y=2 sin t.

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  9. Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x+...

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  10. Find the area of the region bounded by the curve y^2 = 4x and the lin...

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  11. Prove that the curves y^2 = 4x, x^2 = 4y, divide the area of the squar...

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  12. Draw the diagram to show the area enclosed by the curves: y^2=16x and ...

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  13. AOBA is the part of the ellipse 9x^2+y^2=36 in the first quadrant such...

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  14. Calculate the area of the region enclosed between the circles : x^2 + ...

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  15. Draw a rough sketch of the following region and find the area enclosed...

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  16. Find the area bounded by y=1+2 sin^(2)x,"X-axis", X=0 and x=pi.

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  17. Is the parabola y^2=4x symmetrical about x-axis?

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  18. Is the circle x^2+y^2=r^2 symmetrical about the line y=x?

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  19. Find the area enclosed by the circle x^2+y^2=9.

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  20. Find the area of the semi-portion of the circle x^2+y^2=4

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