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

Find the area of the region bounded by the parabola `y^2=2x` and straight line `x-y=4.`

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To find the area of the region bounded by the parabola \( y^2 = 2x \) and the straight line \( x - y = 4 \), we will follow these steps: ### Step 1: Rewrite the equations The equation of the parabola is given as: \[ y^2 = 2x \] We can express \( x \) in terms of \( y \): ...
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RD SHARMA-APPLICATION OF INTEGRALS-Solved Examples And Exercises
  1. Find the area of the region bounded by the parabola y=x^2 and y=|x|.

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

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  3. Find the area of the region bounded by the parabola y^2=2x and stra...

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  4. Find the area of the region bounded by the curves y=x^3 and the lines...

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

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  6. If the area above x-a xi s , bounded by the curves y=2^(k x)a n dx=0a ...

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

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  8. Find the area bounded by the curve y=(x-1)(x-2)(x-3) lying between the...

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  9. Find the area bounded by the curve y=sinxb e t w e e nx=0a n dx=2pidot

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  10. Sketh the graph y=|x+1|. Evaluate int(-3)^1|x+1|dx. What does this va...

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  11. Compute the area bounded by the lines x + 2y = 2 , y -x = 1 and 2x + y...

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  12. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

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  13. Using integration, find the area of the region bounded by the follo...

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  14. Draw a rough sketch of the curves y =sin x and y=cos x varies from 0 t...

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  15. Sketch the curves and identify the region bounded by the curves x=1...

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  16. Compute the area of the figure bounded by the straight lines x=0,x=2...

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

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

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

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

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