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Find the area bounded by the ellipse x^2...

Find the area bounded by the ellipse `x^2/a^2 + y^2/b^2 = 1` and the ordinates `x=0` and `x=ae`, where `b^2 = a^2 (1-e^2)` and `e<1` .

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PSEB- APPLICATION OF INTEGRALS-Exercise
  1. Find the area bounded by the ellipse x^2/a^2 + y^2/b^2 = 1 and the ord...

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  2. Find the area of the region bounded by the curve y = x, and the lines ...

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  3. Find the area of the region bounded by y^2 = 9x, x=2, x=4 and the x-a...

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  4. Find the area of the region bounded by x^2 = 4y, y=2, y=4 and the y-ax...

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  5. Using integration find the area of region bounded by the ellipse x^2/1...

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  6. Find the area of region bounded by the ellipse x^2/4 + y^2/9 = 1

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  7. Find the area of the region in the first quadrant enclosed by x-axis, ...

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  8. Find the area of the smaller part of the circle x^2+y^2=a^2 cut off by...

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  9. The area between the curve y=x^2, x-axis and the lines x=0 and x=2 is ...

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  10. Find the area of the region bounded by the parabola y = x^2 and y = |x...

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  11. Find the area bounded by the curve x^2 = 4y and the line x=4y-2.

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

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  13. Area lying in the first quadrant and bounded by the circle x^2 + y^2 =...

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  14. Find the area of the region bounded by the curve y^2 = 4x, y-axis and ...

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  15. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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

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  17. Find the area of the region bounded by the curves y = x^2, y = x, x...

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  18. Using integration find the area of the region bounded by the triangle ...

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  19. Using integration find the area of triangle whose sides are given by t...

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

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  21. Area lying between the curve y^2 = 4x and the line y = 2x is :

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