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Find the area bounded by the curves y=6x...

Find the area bounded by the curves `y=6x-x^2a n dy=x^2-2xdot`

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To find the area bounded by the curves \( y = 6x - x^2 \) and \( y = x^2 - 2x \), we will follow these steps: ### Step 1: Find the Points of Intersection To find the points where the two curves intersect, we set them equal to each other: \[ 6x - x^2 = x^2 - 2x \] ...
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RD SHARMA-APPLICATION OF INTEGRALS-Solved Examples And Exercises
  1. Compute the area of the figure bounded by the straight lines x=0,x=2...

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  2. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

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  3. Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

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  4. Find the area of the region bounded by y=sqrt(x)a n dy=xdot

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  5. Calculate the area of the region bounded by the parabolas y^2=6xa n...

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  6. If the area bounded by the parabola y^2 = 4ax and the line y=mx is a^2...

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  7. If the area enclosed by the parabolas y^2=16 a xa n dx^2=16 a y ,a >0i...

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  8. Find the area bounded by the lines y=4x+5,y=5-xa n d4y=x+5.

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  9. Find the area enclosed by the curves y=|x-1|a n dy=-|x-1|+1.

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  10. Examples: Find the area bounded by the parabola y^2 = 4ax and its latu...

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  11. Using integration, find the area of the region bounded by the parabola...

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

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

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  14. Find the area of the region bounded by the line y=3x+2, the x-axis and...

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

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

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

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

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

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

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