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Draw a rough sketch of the curve y=cos^2...

Draw a rough sketch of the curve `y=cos^2x` in `[0,pi]` and find the area enclosed by the curve, the lines x=0, `x=pi` and the x-axis.

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
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  3. Draw a rough sketch of the curve y=cos^2x in [0,pi] and find the area ...

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Find the area of the region bounded by the elipse (x^(2))/9+(y^(2))/16...

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  18. Find the area of the region bounded by the ellipse : 4x^2+25y^2=1.

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  19. Find the area between the curve x^2/a^2+y^2/b^2=1 and the x-axis betwe...

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  20. Sketch the region of the ellipse and find its area using integration(x...

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