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Find the area of the region bounded by t...

Find the area of the region bounded by the ellipse `x^2 / a^2 + y^2 / b^2 = 1`

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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Find the area bounded by the parabola y^2 = 4ax and its latus rectum.

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

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  3. Find the area of the region bounded by the ellipse x^2 / a^2 + y^2 / b...

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  4. Draw a rough sketch of the curve y = cos^2 x in [0, 1] and find the ar...

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  5. A point chanrge of magnitude q=4.5nC is moving with speed v=3.6xx10^7m...

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  6. Using the integration, find the area of he region bounded by the fo...

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  7. Using integration, find the area of the triangle formed by positive x-...

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  8. Using the method of integration find the area bounded by the curve |x|...

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  9. Find the integration, find the area of the region bounded between the ...

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  10. Find the area of the region bounded parabola y^2=4a x\ and the line x...

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  11. Find the area lying above the x-axis and under the parabola y=4x-x^2

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  12. Draw a rough sketch to indicate the region bounded between the curve y...

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  13. Make a rough sketch of the graph of the function y=4-x^2,\ 0lt=xlt=2 a...

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  14. Using integration, find the area bounded by the lines x+2y=2, y−x=1 an...

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  15. Find the area under the curve y=sqrt(6x+4)(above the x-axis) from x=0 ...

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  16. Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by t...

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  17. Draw a rough sketch of the graph of the curve x^2/4+y^2/9=1 and evalua...

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  18. Sketch the region |(x , y):9x^2+4y^2=36| and find the area of the regi...

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  19. Draw rough sketch of the graph of the function y=2\ sqrt(1-)x^2\ ,\ x ...

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  20. Using integration, find the area of the region bounded by the line 2y=...

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