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(i) Determine the area under the curve y...

(i) Determine the area under the curve `y=sqrt(a^2-x^2)` included between the lines x=0 and x=a.

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area of the region in the first quadrant enclosed by x-axis, ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Draw a rough sketch of the curve y^2+1=x,xle2. Find the area enclosed ...

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  20. Find the area of the region bounded by the elipse (x^(2))/9+(y^(2))/4=...

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