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Make a rough sketch of the region given ...

Make a rough sketch of the region given below and find its area, using integration : `{(x,y):y^2le4x,4x^2+4y^2le9}`

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The correct Answer is:
`(sqrt(2))/(6)+(9pi)/(8)-(9)/(4) "sin"^(-1)(1)/(3)` square units.
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OMEGA PUBLICATION-APPLICATION OF INTEGRALS-Important Questions from Miscellaneous Exercise
  1. Using integration find the area of region bounded by the triangle whos...

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  2. Using integration, find the area of the triangle ABC, co ordinate of w...

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  3. Using integration find the area of regeion bounded by the triangle who...

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  4. Sketch the graph of y=|x+3| and evaluate the area under the curve y=|...

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  5. Make a rough sketch of the region given below and find its area, using...

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  6. Find the area of smaller regioni bounded by the ellipse (x^(2))/(a^(2...

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  7. Smaller area enclosed by the circle x^2+y^2 = 4 and the line x + y = ...

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  8. Find the area enclosed between the parabola y^2 = 4ax and the line y =...

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  9. Find the area of smaller region founded by the ellipse (x^(2))/9+(y^(2...

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  10. Find the area bounded by curves (x-1)^2+y^2=1 and x^2+y^2=1.

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  11. Using integration find the area of region bounded by the triangle whos...

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  12. Using integration, find the area of the triangle ABC, co ordinate of w...

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  13. Using integration find the area of the region bounded by triangle whos...

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  14. Sketch the graph of y=|x+3| and evaluate the area under the curve y=|...

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  15. Find the area of the region {(x,y):y^2 le 4 x, 4x^2+4y^2 le 9}.

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  16. Find the area of smaller regioni bounded by the ellipse (x^(2))/(a^(2...

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  17. Smaller area enclosed by the circle x^2+y^2 = 4 and the line x + y = ...

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  18. Find the area enclosed between the parabola y^2 = 4ax and the line y =...

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  19. Find the area of smaller region founded by the ellipse (x^(2))/9+(y^(2...

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  20. Find the area bounded by curves (x-1)^2+y^2=1 and x^2+y^2=1.

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