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Find the area, lying above the x=axis an...

Find the area, lying above the x=axis and included between the circle `x^2+y^2=8x` and the parabola `y^2=4xdot`

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To find the area lying above the x-axis and included between the circle \(x^2 + y^2 = 8x\) and the parabola \(y^2 = 4x\), we will follow these steps: ### Step 1: Rewrite the equations 1. **Circle**: The equation \(x^2 + y^2 = 8x\) can be rewritten by completing the square: \[ x^2 - 8x + y^2 = 0 \implies (x - 4)^2 + y^2 = 16 \] This represents a circle centered at \((4, 0)\) with a radius of \(4\). ...
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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Find the area of the region bounded by y=sqrtx ,\ x=2y+3 in the first ...

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  2. Find the area common to the circle x^2+y^2=16a^2 and the parabola y^2=...

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  3. Find the area, lying above the x=axis and included between the circle ...

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  4. Find the area enclosed by the parabolas y=5x^2a n d\ y=2x^2+9.

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  5. The area common to the parabolas y=2x^2 and y=x^2+4 (in square units) ...

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

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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 region bounded by parabola y^2=2x+1\ and the lin...

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  9. Find the area of the region bounded by the curves y=x-1 & (y-1)^2=4(x+...

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  10. Find the area bounded by the parabola y = 2-x^2 and the straight line...

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  11. Using the method of integration, find the area of the region bounded b...

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  12. Sketch the region bounded by the curves y=x^2+2,\ y=x ,\ x=0\ a n d...

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  13. Find the area bounded by the curves x = y^(2) and x = 3-2y^(2).

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  14. Using integration, find the area of the triangle ABC, coordinates o...

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  15. Find the area of the region in the first quadrant enclosed by the y-ax...

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  16. Find the area of the circle x^(2)+y^(2)=16 exterior to the parabola y^...

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  17. Find the area of the region enclosed by the parabola x^(2)=y, the line...

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

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  19. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

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  20. Using integration, find the area of the following region: {(x , y):(x^...

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