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Find the area lying above the x-axis and...

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

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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Find the integration, find the area of the region bounded between the ...

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

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

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

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

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

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

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

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

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

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

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

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  13. Sketch the graph of y=|x-5|. Evaluate int0^1 |x-5|dx. What does this v...

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  14. Sketch the graph of y=|x+3|. Evaluate int-6^0 |x+3|dx. What does the v...

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  15. Sketch the graph y=|x+1|dot Evaluate int(-4)^2\ |x+1|dxdot What does t...

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  16. The area of the region bounded by the curve y = x + 1 and the lines x=...

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  17. Draw a rough sketch of the curve y=x/pi+2sin^2x and find the area betw...

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  18. Draw a rough sketch of the curve y=x/pi + 2 sin^2 x, and find the area...

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  19. Find the area bounded by the curve y=cos x ,\ x-axis and the ordinate...

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  20. Show that the areas under the curves y=sinx\ a n d\ y=sin2x between x=...

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