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

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

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The correct Answer is:
`(2-sqrt2)` sq. units.
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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS -EXERCISE 8 (B)
  1. Draw a rough sketch of the curves y=sin x and y= cos x as x varies fr...

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  2. Using the method of integration find the area bounded by the curve |x|...

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  3. Using integration, find the area of the region bounded by : (i) (1,0...

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  4. Using the method of integration, find the area of the region bounded b...

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  5. Find the area of the region bounded by the line y=3x+2, the x-axis and...

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  6. Find the area of the region: (i) {(x,y): x ^(2) le y le x} (ii) { ...

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  7. Consider the fractions: f (x) = |x|-1 and g (x) =1- |x|. (a) Find ...

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  8. Using integration, find the area of the region bounded between : (i)...

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  9. Find the ara of the region bounded by : (i) the parabola y = x^(2) a...

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  10. Find the area of the region bounded by the parabola x ^(2) =y, the lin...

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  11. The area between x=y^2and x = 4is divided into two equal parts by the ...

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  12. Draw a rough sketch of the region enclosed between the curve y ^(2) = ...

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  13. Find the area of the region bounded by the curve y=x^2and the line y ...

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  14. Find the area enclosed between the straight line y = x + 2 and the cu...

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  15. Find the area of the smaller region bounded by the ellipse (x^2)/(a^2...

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  16. Draw the rough sketch and find the area of the region: {(x,y): 4x^(...

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  17. (a) Draw the rough sketch and find the area of the region included bet...

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  18. Using integration calculate the area of the region bounded by the t...

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  19. Using integration, find the area of the region enclosed between the...

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  20. Show that the areas under the curves f (x) = cos ^(2) x and f (x) = si...

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