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Calculate the area undder the curve : y=...

Calculate the area undder the curve : `y=2sqrtx` between the ordinates x=0 and x=1.

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area of the region bounded by y^2 = 9x, x=2, x=4 and the x-a...

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  2. Find the area of the region bounded by y=4x^2,x=0,y=1,y=4 in the first...

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  3. Calculate the area undder the curve : y=2sqrtx between the ordinates x...

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  4. Find the area under the curve y=(x^2+2)^(2)+2x between the ordinates x...

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  5. Find the area of the region in the first quadrant enclosed by x-axis, ...

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  6. Find the area of the smaller part of the circle x^2+y^2=a^2 cut off by...

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  7. (i) Determine the area under the curve y=sqrt(a^2-x^2) included betwee...

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  8. (ii) Using definite integrals, find the area of the circle (x-1)^2+y^2...

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  9. Determine the area enclosed between the curve y=cos 2x, 0lexlepi/4 and...

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  10. Calculate the area bounded by the curve: f(x)=sin^2(x/2), axis of x an...

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  11. Draw a rough sketch of the curve y=cos^2x in [0,pi] and find the area ...

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  12. (i) Make a rough sketch of the graph of the function y=sin x,0lexlepi/...

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  13. (ii) Find the area bounded by the curve : (I) y=sin x between x=0 and ...

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  14. Find the area bounded by the curve y = cosx between x=0, x= 2pi.

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  15. Find the slopes of the tangent and normal to the curve given by : x=a...

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  16. (i) Make a rough sketch of the graph of the function y=sin x,0lexlepi/...

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  17. Draw a rough sketch of y=sin 2x and determine the area enclosed by the...

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  18. (ii) Draw the graph of y=cos 3x, 0lexlepi/6 and find the area between ...

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  19. Make a rough sketch of the graph of y=cos^2x,0lexlepi/2 and find the a...

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  20. Using integration, find the area of the region bounded by the circle x...

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