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

Find the area of the region bounded by the line y = 2x, X - axis and ordinate x = 2.

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To find the area of the region bounded by the line \( y = 2x \), the x-axis, and the ordinate \( x = 2 \), we can follow these steps: ### Step 1: Identify the boundaries The boundaries of the region are: - The line \( y = 2x \) - The x-axis (which is \( y = 0 \)) - The vertical line \( x = 2 \) ...
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NAGEEN PRAKASHAN-APPLICATIONS OF INTEGRALS-Miscellaneous Exercise
  1. Find the area of the region bounded by the line y = 2x, X - axis and o...

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  2. Find the area under the given curves and given lines:(i) y=x^2,x = 1,...

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  3. Find the area between the curves y = xand y=x^2.

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  4. Find the area of the region lying in the first quadrant and bounded b...

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  5. Sketch the graph of y = |x + 3|and evaluateint-6 0|x+3|dx.

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  6. Find the area between the x-axis and the curve y=sinx from x=0 to x=2p...

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  7. Find the area enclosed between the parabola y^2=4a xand the line y = ...

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  8. Find the area enclosed by the parabola 4y=3x^2 and the line2y = 3x + ...

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

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  10. Find the area of the smaller region bounded by the ellipse (x^2)/(a^2...

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  11. Find the area of the region enclosed by the parabola x^2=y , the li...

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

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

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  14. Using the method of integration find the area of the triangle ABC, ...

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  15. Using the method of integration find the area of the region bounded b...

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  16. Find the area of the region {(x ,y): y^2lt=4x ,4x^2+4y^2lt=9}

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  17. The area (in square units) bounded by the curve y=x^3, the x-axis and ...

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

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  19. The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is

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  20. Find the area bounded by the y-axis, y=cosx ,a n dy=sinxw h e n0lt=xlt...

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