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Using integration, find the area of the ...

Using integration, find the area of the region bounded by the line `y-1=x ,t h ex-text(a xi s)` and the ordinates `x=-2a n dx=3.`

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To find the area of the region bounded by the line \( y - 1 = x \), the x-axis, and the ordinates \( x = -2 \) and \( x = 3 \), we can follow these steps: ### Step 1: Rewrite the equation of the line The equation \( y - 1 = x \) can be rewritten as: \[ y = x + 1 \] ...
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RD SHARMA-APPLICATION OF INTEGRALS-Solved Examples And Exercises
  1. Using integration, find the area of the region bounded by the line 2y=...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If the area bounded by the parabola y^2 = 4ax and the line y=mx is a^2...

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  18. If the area enclosed by the parabolas y^2=16 a xa n dx^2=16 a y ,a >0i...

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  19. Find the area bounded by the lines y=4x+5,y=5-xa n d4y=x+5.

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  20. Find the area enclosed by the curves y=|x-1|a n dy=-|x-1|+1.

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