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Find the area of the region lying in the first quadrant and bounded by `y = 4x^2, x = 0, y = 1, y = 4`

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area under the given curves and given lines: y = x^4, x = 1,...

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  2. Find the area between the curves y = x and y = x^2

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  3. Find the area of the region lying in the first quadrant and bounded by...

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  4. Sketch the graph of y = |x+3| and evaluate int-6^0 |x+3| dx

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  5. Find the area bounded by the curve y = sinx between x = 0, and x = 2pi

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  6. Find the area enclosed between the parabola y^2 = 4ax and the line y =...

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  7. Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x+...

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  8. Find the area of smaller region bounded by the ellipse x^2/9 + y^2/4 =...

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

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

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

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  12. Find the area bounded by curves {(x,y): ygex^2 and y = |x|}

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  13. Using integration, find the area of the triangle ABC, co ordinate of w...

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  14. Using the method of integration find the area of the region bounded by...

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

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  16. Area bounded by the curve y = x^3, the x-axis and the ordinates x = –...

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  17. The area bounded by the curve y = x|x|,x-axis and the ordinates x=-1, ...

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  18. (a) (i)Find the area of the circle x^2+y^2=16, which is exterior to th...

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  19. The area bounded by the y-axis, y = cosx, and y = sinx when 0<x<π/2 is...

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  20. Find the area of the region bounded by the parabolas y^2=6x and x^2=6y...

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