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Draw a rough sketch of the curves y =sin...

Draw a rough sketch of the curves `y =sin x ` varies from 0 to `pi/2` and find the area of the region enclosed by them and x-axis

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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

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

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  3. Draw a rough sketch of the curves y =sin x varies from 0 to pi/2 and...

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

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

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

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

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

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

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  10. Find the area enclosed by the curves 3x^2+5y=32a n dy=|x-2|dot

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

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

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

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

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  15. Find the area bounded by the parabola y^2 = 4ax and its latus rectum.

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

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

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  18. Draw a rough sketch of the curve y = cos^2 x in [0, 1] and find the ar...

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  19. A point chanrge of magnitude q=4.5nC is moving with speed v=3.6xx10^7m...

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  20. Using the integration, find the area of he region bounded by the fo...

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