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

Find the area of the region bounded by the curve `y = x^2` , the x-axis, and the lines x = 1 and x = 3.

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RS AGGARWAL-AREA OF BOUNDED REGIONS -Exercise 17
  1. Find the area of the region bounded by the curve y = x^2 , the x-axis,...

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

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

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  4. Determine the area enclosed by the curve y=x^3 , and the lines y=0,x=2...

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  5. Determine the area under the curve y=sqrt(a^2-x^2) included between th...

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

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

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  8. Evaluate the area bounded by the ellipse (x^2)/(4)+(y^2)/(9)=1 above...

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  9. Using integration, find the area of the region bounded by the lines Y ...

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  10. Find the area bounded by the curve y=(4-x^2) the y-axis and the lines ...

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

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  12. Using integration, find the area of the region bounded by the lines...

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  13. Using intergration find the are of the region bounded between the lin...

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  14. Using integration, find the area of the region bounded by the line y-1...

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  15. Sketch the region lying in the first quadrant and bounded by y = 4x^2 ...

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  16. Sketch the region lying in the first quadrant and bounded by y=9x^2...

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  17. Find the area of the region enclosed between the two circles x^2 + y^2...

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  18. Sketch the region common to the circle x^2 +y^2=16 and the parabola x...

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  19. Sketch the region common to the cirvle x^2+y^2=25 and the parabola y^...

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  20. Draw a rough sketch of the region {(x,y): y^2 le 3x,3x^2 + 3y^2 le16 }...

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