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Make a rough sketch of the curve x^2/4+y...

Make a rough sketch of the curve `x^2/4+y^2/9=1` and find
the area under the curve above the x-axis.

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PRADEEP PUBLICATION-APPLICATIONS OF INTEGRALS-EXERCISE
  1. Using integration find the area of the circle x^2+y^2= r^2.

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  2. Sketch the region {(x,y):4x^2+9y^2=36} and find its area using integra...

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  3. Make a rough sketch of the curve x^2/4+y^2/9=1 and find the area und...

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  4. Make a rough sketch of the curve x^2/4+y^2/9=1 and find the area enc...

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  5. Find the area between the curve x^2/a^2+y^2/b^2=1 and the x-axis betwe...

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  6. Calculate the area enclosed by the curve x^2/a^2 +y^2/b^2= 1.

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  7. Triangle AOB is in the first quadrant of the ellipse x^2/a^2+y^2/b^2=1...

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  8. Find the area of smaller region bounded by the ellipse x^2/9 + y^2/4 =...

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  9. Using integration, find the area of the region represented by {(x,y): ...

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

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  11. Find the area of the region by the curve xy-3x-2y-10=0, X-axis and the...

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  12. Find the area of the region bounded by two parabolas y=x^(2) and y^(2...

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  13. Find the area of the region included between the parabolas y^2= 4ax an...

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  14. Find the area of the region {(x,y):x^(2)+y^(2) le 1 le x+y}.

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

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  16. Find the area bounded by the curve y^2= 4ax and the lines y = 2a and y...

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  17. Sketch the region bounded by the curve y= 2x-x^2 and the x-axis and fi...

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

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  19. Find the area of the region in the first quadrant enclosed by the x-ax...

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  20. Find the smaller of the two areas enclosed by the curves x^2+y^2 = 4 a...

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